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22433440412012 = 227536724677211
BaseRepresentation
bin1010001100111001100010…
…01111110011000101101100
32221102121122000220200000212
411012130301033303011230
510420022141221141022
6115413440311241552
74503522365156360
oct506346117630554
987377560820025
1022433440412012
117169a72301763
1226239019792b8
13c69606253586
14577ada2052a0
1528d82a4223e2
hex1467313f316c

22433440412012 has 144 divisors (see below), whose sum is σ = 46511718559488. Its totient is φ = 9270955774080.

The previous prime is 22433440412003. The next prime is 22433440412021. The reversal of 22433440412012 is 21021404433422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22433440412003) and next prime (22433440412021).

It is a self number, because there is not a number n which added to its sum of digits gives 22433440412012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3110999087 + ... + 3111006297.

It is an arithmetic number, because the mean of its divisors is an integer number (322998045552).

Almost surely, 222433440412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22433440412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255859279744).

22433440412012 is an abundant number, since it is smaller than the sum of its proper divisors (24078278147476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22433440412012 is a wasteful number, since it uses less digits than its factorization.

22433440412012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22433440412012 its reverse (21021404433422), we get a palindrome (43454844845434).

The spelling of 22433440412012 in words is "twenty-two trillion, four hundred thirty-three billion, four hundred forty million, four hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 53 67 106 134 212 268 371 467 469 742 934 938 1484 1868 1876 3269 3551 4489 6538 7102 7211 8978 13076 14204 14422 17956 24751 24857 28844 31289 31423 49502 49714 50477 62578 62846 99004 99428 100954 125156 125692 173257 201908 219023 237917 346514 382183 438046 475834 483137 693028 764366 876092 951668 966274 1528732 1658317 1665419 1932548 2096363 2675281 3316634 3330838 3367537 3381959 4192726 5350562 6633268 6661676 6735074 6763918 8385452 10701124 11608219 13470148 13527836 14674541 23216438 23572759 25606261 29349082 32370179 46432876 47145518 51212522 58698164 64740358 94291036 102425044 111107239 129480716 178479461 179243827 222214478 225624979 226591253 356958922 358487654 444428956 451249958 453182506 713917844 716975308 777750673 902499916 906365012 1249356227 1555501346 1579374853 1715619487 2498712454 3111002692 3158749706 3431238974 4997424908 6317499412 6862477948 11958123887 12009336409 15116873593 23916247774 24018672818 30233747186 47832495548 48037345636 60467494372 83706867209 105818115151 167413734418 211636230302 334827468836 423272460604 801194300429 1602388600858 3204777201716 5608360103003 11216720206006 22433440412012