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156227456 = 277113131
BaseRepresentation
bin10010100111111…
…01011110000000
3101212222011210002
421103331132000
5304443234311
623300255132
73604624430
oct1123753600
9355864702
10156227456
1180206000
12443a14a8
132649c5a8
1416a6a2c0
15daae93b
hex94fd780

156227456 has 128 divisors (see below), whose sum is σ = 394225920. Its totient is φ = 60403200.

The previous prime is 156227453. The next prime is 156227479. The reversal of 156227456 is 654722651.

156227456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156227453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192511 + ... + 1192641.

It is an arithmetic number, because the mean of its divisors is an integer number (3079890).

Almost surely, 2156227456 is an apocalyptic number.

156227456 is a gapful number since it is divisible by the number (16) 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 156227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197112960).

156227456 is an abundant number, since it is smaller than the sum of its proper divisors (237998464).

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

156227456 is an equidigital number, since it uses as much as digits as its factorization.

156227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 156227456 is about 12499.0982074708. The cubic root of 156227456 is about 538.5827674884.

The spelling of 156227456 in words is "one hundred fifty-six million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 131 154 176 224 242 262 308 352 448 484 524 616 704 847 896 917 968 1048 1232 1331 1408 1441 1694 1834 1936 2096 2464 2662 2882 3388 3668 3872 4192 4928 5324 5764 6776 7336 7744 8384 9317 9856 10087 10648 11528 13552 14672 15488 15851 16768 18634 20174 21296 23056 27104 29344 31702 37268 40348 42592 46112 54208 58688 63404 74536 80696 85184 92224 108416 110957 117376 126808 149072 161392 170368 174361 184448 221914 253616 298144 322784 348722 443828 507232 596288 645568 697444 887656 1014464 1192576 1220527 1291136 1394888 1775312 2028928 2441054 2789776 3550624 4882108 5579552 7101248 9764216 11159104 14202496 19528432 22318208 39056864 78113728 156227456