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22444840704 = 2831113204371
BaseRepresentation
bin10100111001110100…
…010001011100000000
32010221012221001012110
4110321310101130000
5331431334400304
614151102455320
71423126666236
oct247164213400
963835831173
1022444840704
119578589030
124424894540
132169063540
14112cc98956
158b56ed289
hex539d11700

22444840704 has 144 divisors (see below), whose sum is σ = 70179709824. Its totient is φ = 6278246400.

The previous prime is 22444840703. The next prime is 22444840721. The reversal of 22444840704 is 40704844422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444840703) 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, 7639 + ... + 212009.

It is an arithmetic number, because the mean of its divisors is an integer number (487359096).

Almost surely, 222444840704 is an apocalyptic number.

22444840704 is a gapful number since it is divisible by the number (24) 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 22444840704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35089854912).

22444840704 is an abundant number, since it is smaller than the sum of its proper divisors (47734869120).

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

22444840704 is a wasteful number, since it uses less digits than its factorization.

22444840704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204414 (or 204400 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 39.

The spelling of 22444840704 in words is "twenty-two billion, four hundred forty-four million, eight hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 27456 36608 54912 109824 204371 408742 613113 817484 1226226 1634968 2248081 2452452 2656823 3269936 4496162 4904904 5313646 6539872 6744243 7970469 8992324 9809808 10627292 13079744 13488486 15940938 17984648 19619616 21254584 26159488 26976972 29225053 31881876 35969296 39239232 42509168 52318976 53953944 58450106 63763752 71938592 78478464 85018336 87675159 107907888 116900212 127527504 143877184 156956928 170036672 175350318 215815776 233800424 255055008 287754368 340073344 350700636 431631552 467600848 510110016 575508736 680146688 701401272 863263104 935201696 1020220032 1402802544 1726526208 1870403392 2040440064 2805605088 3740806784 5611210176 7481613568 11222420352 22444840704