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22152165022050 = 2352726473465611
BaseRepresentation
bin1010000100101101100111…
…11011010101100101100010
32220102201121110122101102020
411002112303323111211202
510400420113221201200
6115040321503402310
74444304204616600
oct502266373254542
986381543571366
1022152165022050
117070753716098
1225992a32b3396
13c48c2b80019b
14568255c32870
15286366a50ea0
hex1425b3ed5962

22152165022050 has 144 divisors (see below), whose sum is σ = 63916745753952. Its totient is φ = 5062558905600.

The previous prime is 22152165022027. The next prime is 22152165022079. The reversal of 22152165022050 is 5022056125122.

It is a happy number.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 47343745 + ... + 47809355.

It is an arithmetic number, because the mean of its divisors is an integer number (443866289958).

Almost surely, 222152165022050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22152165022050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31958372876976).

22152165022050 is an abundant number, since it is smaller than the sum of its proper divisors (41764580731902).

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

22152165022050 is a wasteful number, since it uses less digits than its factorization.

22152165022050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472113 (or 472101 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 22152165022050 in words is "twenty-two trillion, one hundred fifty-two billion, one hundred sixty-five million, twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 6473 7350 12946 19419 32365 38838 45311 64730 90622 97095 135933 161825 194190 226555 271866 317177 323650 453110 465611 485475 634354 679665 931222 951531 970950 1132775 1359330 1396833 1585885 1903062 2265550 2328055 2793666 3171770 3259277 3398325 4656110 4757655 6518554 6796650 6984165 7929425 9515310 9777831 11640275 13968330 15858850 16296385 19555662 22814939 23280550 23788275 32592770 34920825 45629878 47576550 48889155 68444817 69841650 81481925 97778310 114074695 136889634 162963850 228149390 244445775 342224085 488891550 570373475 684448170 1140746950 1711120425 3013900003 3422240850 6027800006 9041700009 15069500015 18083400018 21097300021 30139000030 42194600042 45208500045 63291900063 75347500075 90417000090 105486500105 126583800126 147681100147 150695000150 210973000210 226042500225 295362200294 316459500315 443043300441 452085000450 527432500525 632919000630 738405500735 886086600882 1054865001050 1476811001470 1582297501575 2215216502205 3164595003150 3692027503675 4430433004410 7384055007350 11076082511025 22152165022050