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152243252244 = 22341396735023
BaseRepresentation
bin1000110111001001100…
…1111010110000010100
3112112222002112112110000
42031302121322300110
54443243233032434
6153534541131300
713666505202156
oct2156231726024
9475862475400
10152243252244
115962538a826
1225609b59b30
1311483245a55
14752368aad6
153e609e1b99
hex237267ac14

152243252244 has 120 divisors (see below), whose sum is σ = 401532750080. Its totient is φ = 50297780736.

The previous prime is 152243252237. The next prime is 152243252263. The reversal of 152243252244 is 442252342251.

152243252244 is a `hidden beast` number, since 1 + 52 + 2 + 43 + 2 + 522 + 44 = 666.

It is a super-2 number, since 2×1522432522442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152243252199 and 152243252208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30306717 + ... + 30311739.

Almost surely, 2152243252244 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 152243252244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200766375040).

152243252244 is an abundant number, since it is smaller than the sum of its proper divisors (249289497836).

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

152243252244 is a wasteful number, since it uses less digits than its factorization.

152243252244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5840 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 152243252244 its reverse (442252342251), we get a palindrome (594495594495).

The spelling of 152243252244 in words is "one hundred fifty-two billion, two hundred forty-three million, two hundred fifty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 673 834 1251 1346 1668 2019 2502 2692 3753 4038 5004 5023 6057 7506 8076 10046 11259 12114 15012 15069 18171 20092 22518 24228 30138 36342 45036 45207 54513 60276 72684 90414 93547 109026 135621 180828 187094 218052 271242 280641 374188 406863 542484 561282 698197 813726 841923 1122564 1396394 1627452 1683846 2094591 2525769 2792788 3367692 3380479 4189182 5051538 6283773 6760958 7577307 8378364 10103076 10141437 12567546 13521916 15154614 18851319 20282874 25135092 30309228 30424311 37702638 40565748 56553957 60848622 75405276 91272933 113107914 121697244 182545866 226215828 273818799 365091732 469886581 547637598 939773162 1095275196 1409659743 1879546324 2819319486 4228979229 5638638972 8457958458 12686937687 16915916916 25373875374 38060813061 50747750748 76121626122 152243252244