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157640022 = 232233171173
BaseRepresentation
bin10010110010101…
…10010101010110
3101222121221110100
421121112111112
5310323440042
623350434530
73622626621
oct1131262526
9358557410
10157640022
1180a90311
1244962a46
1326875527
1416d16db8
15dc8d24c
hex9656556

157640022 has 96 divisors (see below), whose sum is σ = 375238656. Its totient is φ = 47678400.

The previous prime is 157640011. The next prime is 157640023. The reversal of 157640022 is 220046751.

157640022 is a `hidden beast` number, since 15 + 7 + 640 + 0 + 2 + 2 = 666.

157640022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157640023) 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, 911128 + ... + 911300.

It is an arithmetic number, because the mean of its divisors is an integer number (3908736).

Almost surely, 2157640022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157640022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187619328).

157640022 is an abundant number, since it is smaller than the sum of its proper divisors (217598634).

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

157640022 is a wasteful number, since it uses less digits than its factorization.

157640022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 157640022 is about 12555.4777686873. The cubic root of 157640022 is about 540.2011390622.

Adding to 157640022 its reverse (220046751), we get a palindrome (377686773).

The spelling of 157640022 in words is "one hundred fifty-seven million, six hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 71 93 138 142 173 186 207 213 279 346 414 426 519 558 639 713 1038 1278 1426 1557 1633 2139 2201 3114 3266 3979 4278 4402 4899 5363 6417 6603 7958 9798 10726 11937 12283 12834 13206 14697 16089 19809 23874 24566 29394 32178 35811 36849 39618 48267 50623 71622 73698 96534 101246 110547 123349 151869 221094 246698 282509 303738 370047 380773 455607 565018 740094 761546 847527 911214 1110141 1142319 1695054 2220282 2284638 2542581 3426957 5085162 6853914 8757779 17515558 26273337 52546674 78820011 157640022