Search a number
-
+
157221168 = 243131714821
BaseRepresentation
bin10010101111100…
…00000100110000
3101221211122220020
421113300010300
5310222034133
623333443440
73616233516
oct1127600460
9357748806
10157221168
1180824655
12447a0580
13267599a0
1416c484b6
15dc090b3
hex95f0130

157221168 has 80 divisors (see below), whose sum is σ = 463157856. Its totient is φ = 45527040.

The previous prime is 157221167. The next prime is 157221191. The reversal of 157221168 is 861122751.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (157221167) 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, 3198 + ... + 18018.

Almost surely, 2157221168 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 157221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231578928).

157221168 is an abundant number, since it is smaller than the sum of its proper divisors (305936688).

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

157221168 is a wasteful number, since it uses less digits than its factorization.

157221168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14856 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 157221168 is about 12538.7865441597. The cubic root of 157221168 is about 539.7222714514.

The spelling of 157221168 in words is "one hundred fifty-seven million, two hundred twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 14821 29642 44463 59284 88926 118568 177852 192673 237136 251957 355704 385346 503914 578019 711408 755871 770692 1007828 1156038 1511742 1541384 2015656 2312076 3023484 3082768 3275441 4031312 4624152 6046968 6550882 9248304 9826323 12093936 13101764 19652646 26203528 39305292 52407056 78610584 157221168