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22979040 = 253572977
BaseRepresentation
bin101011110101…
…0000111100000
31121020110022120
41113222013200
521340312130
62140304240
7366214200
oct127520740
947213276
1022979040
1111a75547
127842080
1349b7386
1430a2400
15203d910
hex15ea1e0

22979040 has 144 divisors (see below), whose sum is σ = 84287952. Its totient is φ = 5246976.

The previous prime is 22979039. The next prime is 22979041. The reversal of 22979040 is 4097922.

It is an interprime number because it is at equal distance from previous prime (22979039) and next prime (22979041).

It is a junction number, because it is equal to n+sod(n) for n = 22978992 and 22979010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22979041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23032 + ... + 24008.

It is an arithmetic number, because the mean of its divisors is an integer number (585333).

Almost surely, 222979040 is an apocalyptic number.

22979040 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 22979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42143976).

22979040 is an abundant number, since it is smaller than the sum of its proper divisors (61308912).

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

22979040 is a wasteful number, since it uses less digits than its factorization.

22979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 22979040 is about 4793.6457941738. The cubic root of 22979040 is about 284.3002841186.

The spelling of 22979040 in words is "twenty-two million, nine hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 977 980 1120 1176 1470 1568 1680 1954 1960 2352 2931 2940 3360 3908 3920 4704 4885 5862 5880 6839 7816 7840 9770 11724 11760 13678 14655 15632 19540 20517 23448 23520 27356 29310 31264 34195 39080 41034 46896 47873 54712 58620 68390 78160 82068 93792 95746 102585 109424 117240 136780 143619 156320 164136 191492 205170 218848 234480 239365 273560 287238 328272 382984 410340 468960 478730 547120 574476 656544 718095 765968 820680 957460 1094240 1148952 1436190 1531936 1641360 1914920 2297904 2872380 3282720 3829840 4595808 5744760 7659680 11489520 22979040