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157226916 = 223711231499
BaseRepresentation
bin10010101111100…
…01011110100100
3101221211221210010
421113301132210
5310222230131
623333530220
73616256340
oct1127613644
9357757703
10157226916
1180828a00
12447a3970
132675c4a2
1416c4a620
15dc0ab46
hex95f17a4

157226916 has 144 divisors (see below), whose sum is σ = 476672000. Its totient is φ = 39441600.

The previous prime is 157226911. The next prime is 157226939. The reversal of 157226916 is 619622751.

It is a super-2 number, since 2×1572269162 = 49440606229742112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157226911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314835 + ... + 315333.

Almost surely, 2157226916 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 157226916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238336000).

157226916 is an abundant number, since it is smaller than the sum of its proper divisors (319445084).

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

157226916 is a wasteful number, since it uses less digits than its factorization.

157226916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 157226916 is about 12539.0157508474. The cubic root of 157226916 is about 539.7288487800.

The spelling of 157226916 in words is "one hundred fifty-seven million, two hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 434 462 484 499 651 682 726 847 868 924 998 1023 1302 1364 1452 1497 1694 1996 2046 2387 2541 2604 2994 3388 3493 3751 4092 4774 5082 5489 5988 6986 7161 7502 9548 10164 10479 10978 11253 13972 14322 15004 15469 16467 20958 21956 22506 26257 28644 30938 32934 38423 41916 45012 46407 52514 60379 61876 65868 76846 78771 92814 105028 108283 115269 120758 153692 157542 170159 181137 185628 216566 230538 241516 315084 324849 340318 362274 422653 433132 461076 510477 649698 680636 724548 845306 1020954 1191113 1267959 1299396 1690612 1871749 2041908 2382226 2535918 3573339 3743498 4764452 5071836 5615247 7146678 7486996 11230494 13102243 14293356 22460988 26204486 39306729 52408972 78613458 157226916