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157922226 = 232711293929
BaseRepresentation
bin10010110100110…
…11001110110010
3102000011021120100
421122123032302
5310412002401
623400453230
73625213440
oct1132331662
9360137510
10157922226
1181163340
1244a7a216
1326943b07
1416d8bb90
15dce6b86
hex969b3b2

157922226 has 96 divisors (see below), whose sum is σ = 441417600. Its totient is φ = 39594240.

The previous prime is 157922189. The next prime is 157922251. The reversal of 157922226 is 622229751.

It is a happy 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, 38230 + ... + 42158.

It is an arithmetic number, because the mean of its divisors is an integer number (4598100).

Almost surely, 2157922226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157922226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220708800).

157922226 is an abundant number, since it is smaller than the sum of its proper divisors (283495374).

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

157922226 is a wasteful number, since it uses less digits than its factorization.

157922226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3981 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 157922226 is about 12566.7110255627. The cubic root of 157922226 is about 540.5232993054.

The spelling of 157922226 in words is "one hundred fifty-seven million, nine hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3654 3929 4466 5742 6699 7858 11787 13398 20097 23574 27503 35361 40194 43219 55006 70722 82509 86438 113941 129657 165018 227882 247527 259314 302533 341823 388971 495054 605066 683646 777942 797587 907599 1025469 1253351 1595174 1815198 2050938 2392761 2506702 2722797 3760053 4785522 5445594 7178283 7520106 8773457 11280159 14356566 17546914 22560318 26320371 52640742 78961113 157922226