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22961040 = 2435293299
BaseRepresentation
bin101011110010…
…1101110010000
31121012112121220
41113211232100
521334223130
62140045040
7366110544
oct127455620
947175556
1022961040
1111a62a73
127833780
1349ac11b
143099a24
152038410
hex15e5b90

22961040 has 80 divisors (see below), whose sum is σ = 73656000. Its totient is φ = 5910016.

The previous prime is 22961009. The next prime is 22961047. The reversal of 22961040 is 4016922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22961040.

It is not an unprimeable number, because it can be changed into a prime (22961047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311 + ... + 8609.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 222961040 is an apocalyptic number.

22961040 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 22961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

22961040 is an abundant number, since it is smaller than the sum of its proper divisors (50694960).

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

22961040 is a wasteful number, since it uses less digits than its factorization.

22961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22961040 is about 4791.7679409587. The cubic root of 22961040 is about 284.2260317871.

Adding to 22961040 its reverse (4016922), we get a palindrome (26977962).

The spelling of 22961040 in words is "twenty-two million, nine hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3299 3480 6598 6960 9897 13196 16495 19794 26392 32990 39588 49485 52784 65980 79176 95671 98970 131960 158352 191342 197940 263920 287013 382684 395880 478355 574026 765368 791760 956710 1148052 1435065 1530736 1913420 2296104 2870130 3826840 4592208 5740260 7653680 11480520 22961040