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157227336 = 233271571987
BaseRepresentation
bin10010101111100…
…01100101001000
3101221211222100200
421113301211020
5310222233321
623333532200
73616260510
oct1127614510
9357758320
10157227336
1180829252
12447a4060
132675c736
1416c4a840
15dc0ad26
hex95f1948

157227336 has 96 divisors (see below), whose sum is σ = 490002240. Its totient is φ = 44613504.

The previous prime is 157227293. The next prime is 157227341. The reversal of 157227336 is 633722751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157227336.

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 23 ways as a sum of consecutive naturals, for example, 78135 + ... + 80121.

It is an arithmetic number, because the mean of its divisors is an integer number (5104190).

Almost surely, 2157227336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157227336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245001120).

157227336 is an abundant number, since it is smaller than the sum of its proper divisors (332774904).

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

157227336 is a wasteful number, since it uses less digits than its factorization.

157227336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2156 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 157227336 is about 12539.0324985622. The cubic root of 157227336 is about 539.7293293718.

The spelling of 157227336 in words is "one hundred fifty-seven million, two hundred twenty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 1987 2198 2826 3297 3768 3974 4396 5652 5961 6594 7948 8792 9891 11304 11922 13188 13909 15896 17883 19782 23844 26376 27818 35766 39564 41727 47688 55636 71532 79128 83454 111272 125181 143064 166908 250362 311959 333816 500724 623918 935877 1001448 1247836 1871754 2183713 2495672 2807631 3743508 4367426 5615262 6551139 7487016 8734852 11230524 13102278 17469704 19653417 22461048 26204556 39306834 52409112 78613668 157227336