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22204920 = 2335199739
BaseRepresentation
bin101010010110…
…1000111111000
31112210010102110
41110231013320
521141024140
62111532320
7356511243
oct124550770
945703373
1022204920
1111596981
12752a0a0
1347a5c0a
142d4025a
151e39380
hex152d1f8

22204920 has 64 divisors (see below), whose sum is σ = 70128000. Its totient is φ = 5609088.

The previous prime is 22204909. The next prime is 22204943. The reversal of 22204920 is 2940222.

22204920 = T220 + T221 + ... + T523.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2590 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (1095750).

Almost surely, 222204920 is an apocalyptic number.

22204920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22204920 is an abundant number, since it is smaller than the sum of its proper divisors (47923080).

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

22204920 is a wasteful number, since it uses less digits than its factorization.

22204920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22204920 is about 4712.2096727544. The cubic root of 22204920 is about 281.0712365248.

It can be divided in two parts, 2220 and 4920, that added together give a triangular number (7140 = T119).

The spelling of 22204920 in words is "twenty-two million, two hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 9739 19478 29217 38956 48695 58434 77912 97390 116868 146085 185041 194780 233736 292170 370082 389560 555123 584340 740164 925205 1110246 1168680 1480328 1850410 2220492 2775615 3700820 4440984 5551230 7401640 11102460 22204920