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22542240 = 253576709
BaseRepresentation
bin101010111111…
…1011110100000
31120102021010210
41111333132200
521232322430
62123054120
7362414550
oct125773640
946367123
1022542240
11117a7356
127671340
134893606
142dcb160
151ea42b0
hex157f7a0

22542240 has 96 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 5151744.

The previous prime is 22542229. The next prime is 22542263. The reversal of 22542240 is 4224522.

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 (21).

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, 6 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (845460).

Almost surely, 222542240 is an apocalyptic number.

22542240 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 22542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

22542240 is an abundant number, since it is smaller than the sum of its proper divisors (58621920).

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

22542240 is a wasteful number, since it uses less digits than its factorization.

22542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22542240 is about 4747.8668894568. The cubic root of 22542240 is about 282.4873620577.

Adding to 22542240 its reverse (4224522), we get a palindrome (26766762).

The spelling of 22542240 in words is "twenty-two million, five hundred forty-two thousand, two hundred forty".

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 6709 13418 20127 26836 33545 40254 46963 53672 67090 80508 93926 100635 107344 134180 140889 161016 187852 201270 214688 234815 268360 281778 322032 375704 402540 469630 536720 563556 644064 704445 751408 805080 939260 1073440 1127112 1408890 1502816 1610160 1878520 2254224 2817780 3220320 3757040 4508448 5635560 7514080 11271120 22542240