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157225464 = 233211218047
BaseRepresentation
bin10010101111100…
…01000111111000
3101221211212210100
421113301013320
5310222203324
623333515400
73616252164
oct1127610770
9357755710
10157225464
1180827900
12447a2b60
132675b926
1416c49ca4
15dc0a4c9
hex95f11f8

157225464 has 72 divisors (see below), whose sum is σ = 468074880. Its totient is φ = 47641440.

The previous prime is 157225463. The next prime is 157225553. The reversal of 157225464 is 464522751.

It is a happy number.

157225464 is a `hidden beast` number, since 1 + 572 + 25 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157225463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 312 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (6501040).

Almost surely, 2157225464 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 157225464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234037440).

157225464 is an abundant number, since it is smaller than the sum of its proper divisors (310849416).

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

157225464 is a wasteful number, since it uses less digits than its factorization.

157225464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18081 (or 18063 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 157225464 is about 12538.9578514325. The cubic root of 157225464 is about 539.7271872987.

The spelling of 157225464 in words is "one hundred fifty-seven million, two hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 18047 36094 54141 72188 108282 144376 162423 198517 216564 324846 397034 433128 595551 649692 794068 1191102 1299384 1588136 1786653 2183687 2382204 3573306 4367374 4764408 6551061 7146612 8734748 13102122 14293224 17469496 19653183 26204244 39306366 52408488 78612732 157225464