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22485820 = 2257612633
BaseRepresentation
bin101010111000…
…1101100111100
31120022101202011
41111301230330
521224021240
62121541004
7362061220
oct125615474
946271664
1022485820
1111768a25
127644764
134873a26
142db4780
151e926ea
hex1571b3c

22485820 has 48 divisors (see below), whose sum is σ = 54871488. Its totient is φ = 7580160.

The previous prime is 22485809. The next prime is 22485847. The reversal of 22485820 is 2858422.

It is a super-2 number, since 2×224858202 = 1011224202144800, which contains 22 as substring.

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, 7224 + ... + 9856.

It is an arithmetic number, because the mean of its divisors is an integer number (1143156).

Almost surely, 222485820 is an apocalyptic number.

22485820 is a gapful number since it is divisible by the number (20) 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 22485820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27435744).

22485820 is an abundant number, since it is smaller than the sum of its proper divisors (32385668).

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

22485820 is a wasteful number, since it uses less digits than its factorization.

22485820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 22485820 is about 4741.9215514388. The cubic root of 22485820 is about 282.2514900195.

The spelling of 22485820 in words is "twenty-two million, four hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 2633 4270 5266 8540 10532 13165 18431 26330 36862 52660 73724 92155 160613 184310 321226 368620 642452 803065 1124291 1606130 2248582 3212260 4497164 5621455 11242910 22485820