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22114040 = 2351323432
BaseRepresentation
bin101010001011…
…0111011111000
31112121111202112
41110112323320
521130122130
62105551452
7355652264
oct124267370
945544675
1022114040
1111534673
1274a5588
134773740
142d190a4
151e1c495
hex1516ef8

22114040 has 96 divisors (see below), whose sum is σ = 57244320. Its totient is φ = 7628544.

The previous prime is 22114039. The next prime is 22114061. The reversal of 22114040 is 4041122.

22114040 = T146 + T147 + ... + T513.

It is a super-3 number, since 3×221140403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514259 + ... + 514301.

It is an arithmetic number, because the mean of its divisors is an integer number (596295).

Almost surely, 222114040 is an apocalyptic number.

22114040 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 22114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622160).

22114040 is an abundant number, since it is smaller than the sum of its proper divisors (35130280).

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

22114040 is a wasteful number, since it uses less digits than its factorization.

22114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22114040 is about 4702.5567513854. The cubic root of 22114040 is about 280.6872573315.

Adding to 22114040 its reverse (4041122), we get a palindrome (26155162).

The spelling of 22114040 in words is "twenty-two million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 43 46 52 65 86 92 104 115 130 172 184 215 230 260 299 344 430 460 520 559 598 860 920 989 1118 1196 1495 1720 1849 1978 2236 2392 2795 2990 3698 3956 4472 4945 5590 5980 7396 7912 9245 9890 11180 11960 12857 14792 18490 19780 22360 24037 25714 36980 39560 42527 48074 51428 64285 73960 85054 96148 102856 120185 128570 170108 192296 212635 240370 257140 340216 425270 480740 514280 552851 850540 961480 1105702 1701080 2211404 2764255 4422808 5528510 11057020 22114040