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22156420 = 225111361127
BaseRepresentation
bin101010010000…
…1010010000100
31112200122220011
41110201102010
521133001140
62110520004
7356216656
oct124412204
945618804
1022156420
11115634a0
127506004
134789b10
142d2a6d6
151e29cea
hex1521484

22156420 has 96 divisors (see below), whose sum is σ = 55996416. Its totient is φ = 7257600.

The previous prime is 22156397. The next prime is 22156439. The reversal of 22156420 is 2465122.

It is a super-3 number, since 3×221564203 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22156391 and 22156400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174397 + ... + 174523.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 222156420 is an apocalyptic number.

22156420 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 22156420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208).

22156420 is an abundant number, since it is smaller than the sum of its proper divisors (33839996).

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

22156420 is a wasteful number, since it uses less digits than its factorization.

22156420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22156420 is about 4707.0606539538. The cubic root of 22156420 is about 280.8664486969.

The spelling of 22156420 in words is "twenty-two million, one hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 110 122 127 130 143 220 244 254 260 286 305 508 572 610 635 671 715 793 1220 1270 1342 1397 1430 1586 1651 2540 2684 2794 2860 3172 3302 3355 3965 5588 6604 6710 6985 7747 7930 8255 8723 13420 13970 15494 15860 16510 17446 18161 27940 30988 33020 34892 36322 38735 43615 72644 77470 85217 87230 90805 100711 154940 170434 174460 181610 201422 340868 363220 402844 426085 503555 852170 1007110 1107821 1704340 2014220 2215642 4431284 5539105 11078210 22156420