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122224920 = 23354323687
BaseRepresentation
bin1110100100100…
…00000100011000
322111222200001220
413102100010120
5222242144140
620043412040
73012615606
oct722200430
9274880056
10122224920
1162aa1434
1234b24020
131c42584c
1412338876
15aae4bd0
hex7490118

122224920 has 64 divisors (see below), whose sum is σ = 375217920. Its totient is φ = 31833984.

The previous prime is 122224919. The next prime is 122224933. The reversal of 122224920 is 29422221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6684 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (5862780).

Almost surely, 2122224920 is an apocalyptic number.

122224920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122224920 is an abundant number, since it is smaller than the sum of its proper divisors (252993000).

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

122224920 is a wasteful number, since it uses less digits than its factorization.

122224920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744 (or 23740 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 122224920 is about 11055.5379787688. The cubic root of 122224920 is about 496.2721689576.

The spelling of 122224920 in words is "one hundred twenty-two million, two hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 23687 47374 71061 94748 118435 142122 189496 236870 284244 355305 473740 568488 710610 947480 1018541 1421220 2037082 2842440 3055623 4074164 5092705 6111246 8148328 10185410 12222492 15278115 20370820 24444984 30556230 40741640 61112460 122224920