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23422560 = 253576971
BaseRepresentation
bin101100101011…
…0011001100000
31122001222201020
41121112121200
521444010220
62154005440
7403042230
oct131263140
948058636
1023422560
1112248797
127a16880
134b11205
143179cc0
1520ca040
hex1656660

23422560 has 96 divisors (see below), whose sum is σ = 84333312. Its totient is φ = 5352960.

The previous prime is 23422559. The next prime is 23422571. The reversal of 23422560 is 6522432.

It is a tau number, because it is divible by the number of its divisors (96).

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 23422560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (878472).

Almost surely, 223422560 is an apocalyptic number.

23422560 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 23422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42166656).

23422560 is an abundant number, since it is smaller than the sum of its proper divisors (60910752).

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

23422560 is a wasteful number, since it uses less digits than its factorization.

23422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23422560 is about 4839.6859402238. The cubic root of 23422560 is about 286.1177404929.

Adding to 23422560 its reverse (6522432), we get a palindrome (29944992).

The spelling of 23422560 in words is "twenty-three million, four hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6971 13942 20913 27884 34855 41826 48797 55768 69710 83652 97594 104565 111536 139420 146391 167304 195188 209130 223072 243985 278840 292782 334608 390376 418260 487970 557680 585564 669216 731955 780752 836520 975940 1115360 1171128 1463910 1561504 1673040 1951880 2342256 2927820 3346080 3903760 4684512 5855640 7807520 11711280 23422560