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122373090 = 23257227749
BaseRepresentation
bin1110100101101…
…00001111100010
322112021012022200
413102310033202
5222311414330
620050514030
73014103600
oct722641742
9275235280
10122373090
1163092794
1234b95916
131c478118
1412376870
15ab23a60
hex74b43e2

122373090 has 72 divisors (see below), whose sum is σ = 370129500. Its totient is φ = 27969984.

The previous prime is 122373079. The next prime is 122373143. The reversal of 122373090 is 90373221.

It can be written as a sum of positive squares in 2 ways, for example, as 117874449 + 4498641 = 10857^2 + 2121^2 .

It is a super-2 number, since 2×1223730902 = 29950346312296200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9465 + ... + 18284.

Almost surely, 2122373090 is an apocalyptic number.

122373090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122373090 is an abundant number, since it is smaller than the sum of its proper divisors (247756410).

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

122373090 is a wasteful number, since it uses less digits than its factorization.

122373090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27776 (or 27766 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 122373090 is about 11062.2371155205. The cubic root of 122373090 is about 496.4726271331.

The spelling of 122373090 in words is "one hundred twenty-two million, three hundred seventy-three thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 27749 55498 83247 138745 166494 194243 249741 277490 388486 416235 499482 582729 832470 971215 1165458 1248705 1359701 1748187 1942430 2497410 2719402 2913645 3496374 4079103 5827290 6798505 8158206 8740935 12237309 13597010 17481870 20395515 24474618 40791030 61186545 122373090