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157221456 = 24372931597
BaseRepresentation
bin10010101111100…
…00001001010000
3101221211200021220
421113300021100
5310222041311
623333445040
73616234410
oct1127601120
9357750256
10157221456
1180824897
12447a0780
1326759b62
1416c48640
15dc09206
hex95f0250

157221456 has 80 divisors (see below), whose sum is σ = 466053504. Its totient is φ = 44739072.

The previous prime is 157221451. The next prime is 157221481. The reversal of 157221456 is 654122751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157221451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97650 + ... + 99246.

Almost surely, 2157221456 is an apocalyptic number.

157221456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233026752).

157221456 is an abundant number, since it is smaller than the sum of its proper divisors (308832048).

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

157221456 is a wasteful number, since it uses less digits than its factorization.

157221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1902 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 157221456 is about 12538.7980285193. The cubic root of 157221456 is about 539.7226010083.

The spelling of 157221456 in words is "one hundred fifty-seven million, two hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1597 1758 2051 2344 3194 3516 4102 4688 4791 6153 6388 7032 8204 9582 11179 12306 12776 14064 16408 19164 22358 24612 25552 32816 33537 38328 44716 49224 67074 76656 89432 98448 134148 178864 268296 467921 536592 935842 1403763 1871684 2807526 3275447 3743368 5615052 6550894 7486736 9826341 11230104 13101788 19652682 22460208 26203576 39305364 52407152 78610728 157221456