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22492880 = 245793559
BaseRepresentation
bin101010111001…
…1011011010000
31120022202102122
41111303123100
521224233010
62122033412
7362120624
oct125633320
946282378
1022492880
1111773263
127648868
134876cc7
142db7184
151e94855
hex15736d0

22492880 has 40 divisors (see below), whose sum is σ = 52972800. Its totient is φ = 8880768.

The previous prime is 22492867. The next prime is 22492901. The reversal of 22492880 is 8829422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 22492880.

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 7 ways as a sum of consecutive naturals, for example, 4541 + ... + 8099.

It is an arithmetic number, because the mean of its divisors is an integer number (1324320).

Almost surely, 222492880 is an apocalyptic number.

22492880 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 22492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486400).

22492880 is an abundant number, since it is smaller than the sum of its proper divisors (30479920).

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

22492880 is a wasteful number, since it uses less digits than its factorization.

22492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 22492880 is about 4742.6659169712. The cubic root of 22492880 is about 282.2810269603.

The spelling of 22492880 in words is "twenty-two million, four hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 3559 6320 7118 14236 17795 28472 35590 56944 71180 142360 281161 284720 562322 1124644 1405805 2249288 2811610 4498576 5623220 11246440 22492880