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157022208 = 2113271217
BaseRepresentation
bin10010101101111…
…11100000000000
3101221110112222100
421112333200000
5310144202313
623325310400
73614444460
oct1126774000
9357415870
10157022208
11806a9122
1244705400
13266ba265
1416bd5ba0
15dbba173
hex95bf800

157022208 has 144 divisors (see below), whose sum is σ = 518721840. Its totient is φ = 44826624.

The previous prime is 157022189. The next prime is 157022209. The reversal of 157022208 is 802220751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157022209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128416 + ... + 129632.

It is an arithmetic number, because the mean of its divisors is an integer number (3602235).

Almost surely, 2157022208 is an apocalyptic number.

157022208 is a gapful number since it is divisible by the number (18) 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 157022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259360920).

157022208 is an abundant number, since it is smaller than the sum of its proper divisors (361699632).

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

157022208 is a wasteful number, since it uses less digits than its factorization.

157022208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157022208 is about 12530.8502504818. The cubic root of 157022208 is about 539.4945063793.

Adding to 157022208 its reverse (802220751), we get a palindrome (959242959).

The spelling of 157022208 in words is "one hundred fifty-seven million, twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1217 1344 1536 1792 2016 2048 2304 2434 2688 3072 3584 3651 4032 4608 4868 5376 6144 7168 7302 8064 8519 9216 9736 10752 10953 14336 14604 16128 17038 18432 19472 21504 21906 25557 29208 32256 34076 38944 43008 43812 51114 58416 64512 68152 76671 77888 87624 102228 116832 129024 136304 153342 155776 175248 204456 233664 272608 306684 311552 350496 408912 467328 545216 613368 623104 700992 817824 934656 1090432 1226736 1246208 1401984 1635648 1869312 2180864 2453472 2492416 2803968 3271296 3738624 4361728 4906944 5607936 6542592 7477248 8723456 9813888 11215872 13085184 17446912 19627776 22431744 26170368 39255552 52340736 78511104 157022208