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22019046912 = 29333743049
BaseRepresentation
bin10100100000011011…
…111111111000000000
32002211112201110221000
4110200123333320000
5330043334000122
614040532332000
71406436545022
oct244033777000
962745643830
1022019046912
11937a1a5935
124326174000
1320cba90655
1410cc4dc012
1588d1420ac
hex5206ffe00

22019046912 has 160 divisors (see below), whose sum is σ = 66941028000. Its totient is φ = 7141146624.

The previous prime is 22019046911. The next prime is 22019047019. The reversal of 22019046912 is 21964091022.

22019046912 is a `hidden beast` number, since 2 + 2 + 0 + 190 + 469 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22019046911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489964 + ... + 533012.

It is an arithmetic number, because the mean of its divisors is an integer number (418381425).

Almost surely, 222019046912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22019046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33470514000).

22019046912 is an abundant number, since it is smaller than the sum of its proper divisors (44921981088).

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

22019046912 is an equidigital number, since it uses as much as digits as its factorization.

22019046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43113 (or 43091 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 22019046912 in words is "twenty-two billion, nineteen million, forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1536 1728 1776 1998 2304 2368 2664 3456 3552 3996 4608 4736 5328 6912 7104 7992 9472 10656 13824 14208 15984 18944 21312 28416 31968 42624 43049 56832 63936 85248 86098 127872 129147 170496 172196 255744 258294 344392 387441 511488 516588 688784 774882 1033176 1162323 1377568 1549764 1592813 2066352 2324646 2755136 3099528 3185626 4132704 4649292 4778439 5510272 6199056 6371252 8265408 9298584 9556878 11020544 12398112 12742504 14335317 16530816 18597168 19113756 22041088 24796224 25485008 28670634 33061632 37194336 38227512 43005951 49592448 50970016 57341268 66123264 74388672 76455024 86011902 99184896 101940032 114682536 148777344 152910048 172023804 198369792 203880064 229365072 297554688 305820096 344047608 407760128 458730144 595109376 611640192 688095216 815520256 917460288 1223280384 1376190432 1834920576 2446560768 2752380864 3669841152 5504761728 7339682304 11009523456 22019046912