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157122522 = 23223229569
BaseRepresentation
bin10010101110101…
…11111111011010
3101221122122120200
421113113333122
5310210410042
623331403030
73615343104
oct1127277732
9357578520
10157122522
1180767527
1244753476
1326723b0b
1416c20574
15dbd9c4c
hex95d7fda

157122522 has 72 divisors (see below), whose sum is σ = 368795700. Its totient is φ = 48284544.

The previous prime is 157122509. The next prime is 157122529. The reversal of 157122522 is 225221751.

157122522 is a `hidden beast` number, since 15 + 7 + 122 + 522 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152547201 + 4575321 = 12351^2 + 2139^2 .

It is not an unprimeable number, because it can be changed into a prime (157122529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275854 + ... + 276422.

Almost surely, 2157122522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157122522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184397850).

157122522 is an abundant number, since it is smaller than the sum of its proper divisors (211673178).

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

157122522 is a wasteful number, since it uses less digits than its factorization.

157122522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 626 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 157122522 is about 12534.8522927077. The cubic root of 157122522 is about 539.6093676932.

The spelling of 157122522 in words is "one hundred fifty-seven million, one hundred twenty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 529 569 667 1058 1138 1334 1587 1707 2001 3174 3414 4002 4761 5121 6003 9522 10242 12006 13087 15341 16501 26174 30682 33002 39261 46023 49503 78522 92046 99006 117783 138069 148509 235566 276138 297018 301001 379523 602002 759046 903003 1138569 1806006 2277138 2709009 3415707 5418018 6831414 8729029 17458058 26187087 52374174 78561261 157122522