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22050534132 = 223211192154247
BaseRepresentation
bin10100100010010100…
…000111001011110100
32002220201222012021100
4110202110013023310
5330124414043012
614044015250100
71410301306344
oct244224071364
962821865240
1022050534132
119395a51730
124334819930
132105466543
1410d2776d24
15890cb18dc
hex5225072f4

22050534132 has 108 divisors (see below), whose sum is σ = 64175188896. Its totient is φ = 6330255840.

The previous prime is 22050534091. The next prime is 22050534157. The reversal of 22050534132 is 23143505022.

It is a happy number.

22050534132 is a `hidden beast` number, since 2 + 20 + 505 + 3 + 4 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22050534096 and 22050534105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65833 + ... + 220079.

It is an arithmetic number, because the mean of its divisors is an integer number (594214712).

Almost surely, 222050534132 is an apocalyptic number.

22050534132 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 22050534132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32087594448).

22050534132 is an abundant number, since it is smaller than the sum of its proper divisors (42124654764).

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

22050534132 is a wasteful number, since it uses less digits than its factorization.

22050534132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154306 (or 154282 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 22050534132 in words is "twenty-two billion, fifty million, five hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 361 396 418 627 684 722 836 1083 1254 1444 1881 2166 2508 3249 3762 3971 4332 6498 7524 7942 11913 12996 15884 23826 35739 47652 71478 142956 154247 308494 462741 616988 925482 1388223 1696717 1850964 2776446 2930693 3393434 5090151 5552892 5861386 6786868 8792079 10180302 11722772 15270453 17584158 20360604 26376237 30540906 32237623 35168316 52752474 55683167 61081812 64475246 96712869 105504948 111366334 128950492 167049501 193425738 222732668 290138607 334099002 386851476 501148503 580277214 612514837 668198004 1002297006 1160554428 1225029674 1837544511 2004594012 2450059348 3675089022 5512633533 7350178044 11025267066 22050534132