Search a number
-
+
22690560 = 283519311
BaseRepresentation
bin101011010001…
…1101100000000
31120200210121010
41112203230000
521302044220
62130200520
7363603144
oct126435400
946623533
1022690560
1111898832
127723140
134915c89
143029224
151ed31e0
hex15a3b00

22690560 has 144 divisors (see below), whose sum is σ = 76527360. Its totient is φ = 5713920.

The previous prime is 22690537. The next prime is 22690567. The reversal of 22690560 is 6509622.

It is a super-2 number, since 2×226905602 = 1029723026227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22690567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72805 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (531440).

Almost surely, 222690560 is an apocalyptic number.

22690560 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 22690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

22690560 is an abundant number, since it is smaller than the sum of its proper divisors (53836800).

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

22690560 is a wasteful number, since it uses less digits than its factorization.

22690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 22690560 is about 4763.4609266793. The cubic root of 22690560 is about 283.1055639675.

The spelling of 22690560 in words is "twenty-two million, six hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 311 320 380 384 456 480 570 608 622 640 760 768 912 933 960 1140 1216 1244 1280 1520 1555 1824 1866 1920 2280 2432 2488 3040 3110 3648 3732 3840 4560 4665 4864 4976 5909 6080 6220 7296 7464 9120 9330 9952 11818 12160 12440 14592 14928 17727 18240 18660 19904 23636 24320 24880 29545 29856 35454 36480 37320 39808 47272 49760 59090 59712 70908 72960 74640 79616 88635 94544 99520 118180 119424 141816 149280 177270 189088 199040 236360 238848 283632 298560 354540 378176 398080 472720 567264 597120 709080 756352 945440 1134528 1194240 1418160 1512704 1890880 2269056 2836320 3781760 4538112 5672640 7563520 11345280 22690560