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22820960 = 2553143107
BaseRepresentation
bin101011100001…
…1100001100000
31120221102110202
41113003201200
521320232320
62133044332
7364655261
oct127034140
946842422
1022820960
11119777a8
1277866a8
134960436
143060968
15200bb75
hex15c3860

22820960 has 96 divisors (see below), whose sum is σ = 57480192. Its totient is φ = 8547840.

The previous prime is 22820951. The next prime is 22820977. The reversal of 22820960 is 6902822.

It is a happy number.

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, 213227 + ... + 213333.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 222820960 is an apocalyptic number.

22820960 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 22820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740096).

22820960 is an abundant number, since it is smaller than the sum of its proper divisors (34659232).

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

22820960 is a wasteful number, since it uses less digits than its factorization.

22820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 22820960 is about 4777.1288448188. The cubic root of 22820960 is about 283.6468532570.

The spelling of 22820960 in words is "twenty-two million, eight hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 80 86 107 124 155 160 172 214 215 248 310 344 428 430 496 535 620 688 856 860 992 1070 1240 1333 1376 1712 1720 2140 2480 2666 3317 3424 3440 4280 4601 4960 5332 6634 6665 6880 8560 9202 10664 13268 13330 16585 17120 18404 21328 23005 26536 26660 33170 36808 42656 46010 53072 53320 66340 73616 92020 106144 106640 132680 142631 147232 184040 213280 265360 285262 368080 530720 570524 713155 736160 1141048 1426310 2282096 2852620 4564192 5705240 11410480 22820960