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22013144400 = 24352131411099
BaseRepresentation
bin10100100000000101…
…011110110101010000
32002211010121121012110
4110200011132311100
5330040331110100
614040202025320
71406335432362
oct244005366520
962733547173
1022013144400
119376934225
1243241a8240
1320ca7a4b40
1410cb802d32
1588c878250
hex52015ed50

22013144400 has 120 divisors (see below), whose sum is σ = 75939757600. Its totient is φ = 5418616320.

The previous prime is 22013144371. The next prime is 22013144449. The reversal of 22013144400 is 444131022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689950 + ... + 721149.

Almost surely, 222013144400 is an apocalyptic number.

22013144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013144400 is an abundant number, since it is smaller than the sum of its proper divisors (53926613200).

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

22013144400 is a wasteful number, since it uses less digits than its factorization.

22013144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411133 (or 1411122 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22013144400 its reverse (444131022), we get a palindrome (22457275422).

The spelling of 22013144400 in words is "twenty-two billion, thirteen million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 1411099 2822198 4233297 5644396 7055495 8466594 11288792 14110990 16933188 18344287 21166485 22577584 28221980 33866376 35277475 36688574 42332970 55032861 56443960 67732752 70554950 73377148 84665940 91721435 105832425 110065722 112887920 141109900 146754296 169331880 183442870 211664850 220131444 275164305 282219800 293508592 338663760 366885740 423329700 440262888 458607175 550328610 564439600 733771480 846659400 880525776 917214350 1100657220 1375821525 1467542960 1693318800 1834428700 2201314440 2751643050 3668857400 4402628880 5503286100 7337714800 11006572200 22013144400