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122902272 = 28345927
BaseRepresentation
bin1110101001101…
…01011100000000
322120021002020000
413110311130000
5222430333042
620110120000
73021436443
oct724653400
9276232200
10122902272
1163414329
12351b0000
131c601c4c
141247365a
15abca74c
hex7535700

122902272 has 90 divisors (see below), whose sum is σ = 366534168. Its totient is φ = 40960512.

The previous prime is 122902249. The next prime is 122902291. The reversal of 122902272 is 272209221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17773 + ... + 23699.

Almost surely, 2122902272 is an apocalyptic number.

122902272 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 122902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183267084).

122902272 is an abundant number, since it is smaller than the sum of its proper divisors (243631896).

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

122902272 is an frugal number, since it uses more digits than its factorization.

122902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122902272 is about 11086.1297123929. The cubic root of 122902272 is about 497.1872357190.

The spelling of 122902272 in words is "one hundred twenty-two million, nine hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 5927 6912 10368 11854 17781 20736 23708 35562 47416 53343 71124 94832 106686 142248 160029 189664 213372 284496 320058 379328 426744 480087 568992 640116 758656 853488 960174 1137984 1280232 1517312 1706976 1920348 2275968 2560464 3413952 3840696 4551936 5120928 6827904 7681392 10241856 13655808 15362784 20483712 30725568 40967424 61451136 122902272