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20226960 = 24325132161
BaseRepresentation
bin100110100101…
…0001110010000
31102001122011200
41031022032100
520134230320
62001311200
7333632505
oct115121620
942048150
1020226960
11104658a6
126935500
134262820
1429874ac
151b98290
hex134a390

20226960 has 120 divisors (see below), whose sum is σ = 73188024. Its totient is φ = 4976640.

The previous prime is 20226953. The next prime is 20226961. The reversal of 20226960 is 6962202.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 19501056 = 852^2 + 4416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (20226961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8280 + ... + 10440.

Almost surely, 220226960 is an apocalyptic number.

20226960 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 20226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594012).

20226960 is an abundant number, since it is smaller than the sum of its proper divisors (52961064).

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

20226960 is a wasteful number, since it uses less digits than its factorization.

20226960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20226960 is about 4497.4392714077. The cubic root of 20226960 is about 272.4646757230.

The spelling of 20226960 in words is "twenty million, two hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2161 2340 3120 4322 4680 6483 8644 9360 10805 12966 17288 19449 21610 25932 28093 32415 34576 38898 43220 51864 56186 64830 77796 84279 86440 97245 103728 112372 129660 140465 155592 168558 172880 194490 224744 252837 259320 280930 311184 337116 388980 421395 449488 505674 518640 561860 674232 777960 842790 1011348 1123720 1264185 1348464 1555920 1685580 2022696 2247440 2528370 3371160 4045392 5056740 6742320 10113480 20226960