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22714104 = 2337532551
BaseRepresentation
bin101011010100…
…1011011111000
31120201222220010
41112221123320
521303322404
62130501520
7364031610
oct126513370
946658803
1022714104
1111904496
1277348a0
1349238ca
143033a40
151eda189
hex15a96f8

22714104 has 64 divisors (see below), whose sum is σ = 66147840. Its totient is φ = 6364800.

The previous prime is 22714093. The next prime is 22714117. The reversal of 22714104 is 40141722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7629 + ... + 10179.

It is an arithmetic number, because the mean of its divisors is an integer number (1033560).

Almost surely, 222714104 is an apocalyptic number.

22714104 is a gapful number since it is divisible by the number (24) 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 22714104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33073920).

22714104 is an abundant number, since it is smaller than the sum of its proper divisors (43433736).

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

22714104 is a wasteful number, since it uses less digits than its factorization.

22714104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22714104 is about 4765.9315983342. The cubic root of 22714104 is about 283.2034480413.

Adding to 22714104 its reverse (40141722), we get a palindrome (62855826).

The spelling of 22714104 in words is "twenty-two million, seven hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2551 2968 4452 5102 7653 8904 10204 15306 17857 20408 30612 35714 53571 61224 71428 107142 135203 142856 214284 270406 405609 428568 540812 811218 946421 1081624 1622436 1892842 2839263 3244872 3785684 5678526 7571368 11357052 22714104