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22940640 = 2532589179
BaseRepresentation
bin101011110000…
…0101111100000
31121011111122100
41113200233200
521333100030
62135410400
7365664222
oct127405740
947144570
1022940640
1111a49708
127823a00
1349a2a58
143092412
152032360
hex15e0be0

22940640 has 144 divisors (see below), whose sum is σ = 79606800. Its totient is φ = 6014976.

The previous prime is 22940627. The next prime is 22940641. The reversal of 22940640 is 4604922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22940641) 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, 128071 + ... + 128249.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 222940640 is an apocalyptic number.

22940640 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 22940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39803400).

22940640 is an abundant number, since it is smaller than the sum of its proper divisors (56666160).

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

22940640 is a wasteful number, since it uses less digits than its factorization.

22940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22940640 is about 4789.6388172805. The cubic root of 22940640 is about 284.1418322175.

The spelling of 22940640 in words is "twenty-two million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 178 179 180 240 267 288 356 358 360 445 480 534 537 712 716 720 801 890 895 1068 1074 1335 1424 1432 1440 1602 1611 1780 1790 2136 2148 2670 2685 2848 2864 3204 3222 3560 3580 4005 4272 4296 5340 5370 5728 6408 6444 7120 7160 8010 8055 8544 8592 10680 10740 12816 12888 14240 14320 15931 16020 16110 17184 21360 21480 25632 25776 28640 31862 32040 32220 42720 42960 47793 51552 63724 64080 64440 79655 85920 95586 127448 128160 128880 143379 159310 191172 238965 254896 257760 286758 318620 382344 477930 509792 573516 637240 716895 764688 955860 1147032 1274480 1433790 1529376 1911720 2294064 2548960 2867580 3823440 4588128 5735160 7646880 11470320 22940640