Search a number
-
+
157221372 = 2237111710009
BaseRepresentation
bin10010101111100…
…00000111111100
3101221211200011210
421113300013330
5310222040442
623333444420
73616234230
oct1127600774
9357750153
10157221372
1180824820
12447a0710
1326759ac9
1416c485c0
15dc0919c
hex95f01fc

157221372 has 96 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 38430720.

The previous prime is 157221349. The next prime is 157221377. The reversal of 157221372 is 273122751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157221377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10704 + ... + 20712.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2157221372 is an apocalyptic number.

157221372 is a gapful number since it is divisible by the number (12) 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 157221372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

157221372 is an abundant number, since it is smaller than the sum of its proper divisors (327102468).

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

157221372 is a wasteful number, since it uses less digits than its factorization.

157221372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10049 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 157221372 is about 12538.7946789155. The cubic root of 157221372 is about 539.7225048876.

The spelling of 157221372 in words is "one hundred fifty-seven million, two hundred twenty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 5236 7854 10009 15708 20018 30027 40036 60054 70063 110099 120108 140126 170153 210189 220198 280252 330297 340306 420378 440396 510459 660594 680612 770693 840756 1020918 1191071 1321188 1541386 1871683 2041836 2312079 2382142 3082772 3573213 3743366 4624158 4764284 5615049 7146426 7486732 9248316 11230098 13101781 14292852 22460196 26203562 39305343 52407124 78610686 157221372