Search a number
-
+
221235246204 = 223717232292867
BaseRepresentation
bin1100111000001010100…
…1011111010001111100
3210011001021010221222120
43032002221133101330
512111042210334304
6245344543042540
721661262364540
oct3160251372174
9704037127876
10221235246204
118590958aa55
1236a632a0450
1317b298ac10b
14a9ca46da20
155b4c88e0d9
hex3382a5f47c

221235246204 has 144 divisors (see below), whose sum is σ = 653006608128. Its totient is φ = 56905035264.

The previous prime is 221235246191. The next prime is 221235246217. The reversal of 221235246204 is 402642532122.

221235246204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221235246191) and next prime (221235246217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608979 + ... + 901845.

It is an arithmetic number, because the mean of its divisors is an integer number (4534768112).

Almost surely, 2221235246204 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 221235246204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326503304064).

221235246204 is an abundant number, since it is smaller than the sum of its proper divisors (431771361924).

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

221235246204 is a wasteful number, since it uses less digits than its factorization.

221235246204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292944 (or 292919 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 221235246204 its reverse (402642532122), we get a palindrome (623877778326).

The spelling of 221235246204 in words is "two hundred twenty-one billion, two hundred thirty-five million, two hundred forty-six thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 529 644 714 782 966 1058 1173 1428 1564 1587 1932 2116 2346 2737 3174 3703 4692 5474 6348 7406 8211 8993 10948 11109 14812 16422 17986 22218 26979 32844 35972 44436 53958 62951 107916 125902 188853 251804 292867 377706 585734 755412 878601 1171468 1757202 2050069 3514404 4100138 4978739 6150207 6735941 8200276 9957478 12300414 13471882 14936217 19914956 20207823 24600828 26943764 29872434 34851173 40415646 47151587 59744868 69702346 80831292 94303174 104553519 114510997 139404692 141454761 154926643 188606348 209107038 229021994 282909522 309853286 343532991 418214076 458043988 464779929 565819044 619706572 687065982 801576979 929559858 1084486501 1374131964 1603153958 1859119716 2168973002 2404730937 2633752931 3206307916 3253459503 4337946004 4809461874 5267505862 6506919006 7901258793 9618923748 10535011724 13013838012 15802517586 18436270517 31605035172 36872541034 55308811551 73745082068 110617623102 221235246204