Search a number
-
+
22013778072 = 233111334918379
BaseRepresentation
bin10100100000000111…
…111001100010011000
32002211011210210102210
4110200013321202120
5330041011344242
614040223355120
71406344011666
oct244007714230
962734723383
1022013778072
119377227320
124324452aa0
1320ca9673b0
1410cb929c36
1588c950d9c
hex5201f9898

22013778072 has 128 divisors (see below), whose sum is σ = 64844640000. Its totient is φ = 6139722240.

The previous prime is 22013778053. The next prime is 22013778107. The reversal of 22013778072 is 27087731022.

It is a super-3 number, since 3×220137780723 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 22013778072.

It is a congruent number.

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, 1188579 + ... + 1206957.

It is an arithmetic number, because the mean of its divisors is an integer number (506598750).

Almost surely, 222013778072 is an apocalyptic number.

22013778072 is a gapful number since it is divisible by the number (22) 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 22013778072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32422320000).

22013778072 is an abundant number, since it is smaller than the sum of its proper divisors (42830861928).

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

22013778072 is a wasteful number, since it uses less digits than its factorization.

22013778072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18761 (or 18757 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 22013778072 in words is "twenty-two billion, thirteen million, seven hundred seventy-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 349 429 572 698 858 1047 1144 1396 1716 2094 2792 3432 3839 4188 4537 7678 8376 9074 11517 13611 15356 18148 18379 23034 27222 30712 36296 36758 46068 49907 54444 55137 73516 92136 99814 108888 110274 147032 149721 199628 202169 220548 238927 299442 399256 404338 441096 477854 598884 606507 716781 808676 955708 1197768 1213014 1433562 1617352 1911416 2426028 2628197 2867124 4852056 5256394 5734248 6414271 7884591 10512788 12828542 15769182 19242813 21025576 25657084 31538364 38485626 51314168 63076728 70556981 76971252 83385523 141113962 153942504 166771046 211670943 250156569 282227924 333542092 423341886 500313138 564455848 667084184 846683772 917240753 1000626276 1693367544 1834481506 2001252552 2751722259 3668963012 5503444518 7337926024 11006889036 22013778072