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22048816 = 2419294161
BaseRepresentation
bin101010000011…
…1000000110000
31112111012021211
41110013000300
521121030231
62104325504
7355261156
oct124070060
945435254
1022048816
111149a669
127473894
13474cb4a
142cdd3d6
151e07eb1
hex1507030

22048816 has 80 divisors (see below), whose sum is σ = 48434400. Its totient is φ = 9676800.

The previous prime is 22048799. The next prime is 22048823. The reversal of 22048816 is 61884022.

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, 361426 + ... + 361486.

It is an arithmetic number, because the mean of its divisors is an integer number (605430).

Almost surely, 222048816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22048816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

22048816 is an abundant number, since it is smaller than the sum of its proper divisors (26385584).

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

22048816 is a wasteful number, since it uses less digits than its factorization.

22048816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 22048816 is about 4695.6166794150. The cubic root of 22048816 is about 280.4110289834.

It can be divided in two parts, 2204 and 8816, that multiplied together give a square (19430464 = 44082).

The spelling of 22048816 in words is "twenty-two million, forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 29 38 41 58 61 76 82 116 122 152 164 232 244 304 328 464 488 551 656 779 976 1102 1159 1189 1558 1769 2204 2318 2378 2501 3116 3538 4408 4636 4756 5002 6232 7076 8816 9272 9512 10004 12464 14152 18544 19024 20008 22591 28304 33611 40016 45182 47519 67222 72529 90364 95038 134444 145058 180728 190076 268888 290116 361456 380152 537776 580232 760304 1160464 1378051 2756102 5512204 11024408 22048816