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122269952 = 28731271
BaseRepresentation
bin1110100100110…
…11000100000000
322112001221211202
413102123010000
5222300114302
620044400332
73013164110
oct722330400
9275057752
10122269952
1163022252
1234b460a8
131c4401ac
141234b040
15ab03202
hex749b100

122269952 has 108 divisors (see below), whose sum is σ = 292275648. Its totient is φ = 49996800.

The previous prime is 122269919. The next prime is 122269957. The reversal of 122269952 is 259962221.

It is not an unprimeable number, because it can be changed into a prime (122269957) 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, 1722077 + ... + 1722147.

It is an arithmetic number, because the mean of its divisors is an integer number (2706256).

Almost surely, 2122269952 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 122269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146137824).

122269952 is an abundant number, since it is smaller than the sum of its proper divisors (170005696).

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

122269952 is an frugal number, since it uses more digits than its factorization.

122269952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 111 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 122269952 is about 11057.5744175655. The cubic root of 122269952 is about 496.3331095696. Note that the first 3 decimals are identical.

The spelling of 122269952 in words is "one hundred twenty-two million, two hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 128 142 217 224 248 256 284 434 448 496 497 568 868 896 961 992 994 1136 1736 1792 1922 1984 1988 2201 2272 3472 3844 3968 3976 4402 4544 6727 6944 7688 7936 7952 8804 9088 13454 13888 15376 15407 15904 17608 18176 26908 27776 30752 30814 31808 35216 53816 55552 61504 61628 63616 68231 70432 107632 123008 123256 127232 136462 140864 215264 246016 246512 272924 281728 430528 477617 493024 545848 563456 861056 955234 986048 1091696 1722112 1910468 1972096 2183392 3820936 3944192 4366784 7641872 8733568 15283744 17467136 30567488 61134976 122269952