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157814202 = 237213157263
BaseRepresentation
bin10010110100000…
…00110110111010
3101222221210101110
421122000312322
5310400023302
623354301150
73624253500
oct1132006672
9358853343
10157814202
118109a167
1244a277b6
13269068b0
1416d60670
15dcc4b6c
hex9680dba

157814202 has 96 divisors (see below), whose sum is σ = 399434112. Its totient is φ = 41198976.

The previous prime is 157814159. The next prime is 157814219. The reversal of 157814202 is 202418751.

157814202 is a modest number, since divided by 14202 gives 1578 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 157814202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599923 + ... + 600185.

It is an arithmetic number, because the mean of its divisors is an integer number (4160772).

Almost surely, 2157814202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157814202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199717056).

157814202 is an abundant number, since it is smaller than the sum of its proper divisors (241619910).

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

157814202 is a wasteful number, since it uses less digits than its factorization.

157814202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 157814202 is about 12562.4122683504. The cubic root of 157814202 is about 540.4000259515.

It can be divided in two parts, 1578 and 14202, that multiplied together give a square (22410756 = 47342).

The spelling of 157814202 in words is "one hundred fifty-seven million, eight hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 157 182 263 273 294 314 471 526 546 637 789 942 1099 1274 1578 1841 1911 2041 2198 3297 3419 3682 3822 4082 5523 6123 6594 6838 7693 10257 11046 12246 12887 14287 15386 20514 23079 23933 25774 28574 38661 41291 42861 46158 47866 71799 77322 82582 85722 100009 123873 143598 167531 200018 247746 289037 300027 335062 502593 536783 578074 600054 867111 1005186 1073566 1610349 1734222 2023259 3220698 3757481 4046518 6069777 7514962 11272443 12139554 22544886 26302367 52604734 78907101 157814202