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22024400201320 = 23511163307088681
BaseRepresentation
bin1010000000111111101001…
…00011001110011001101000
32212222111211022121000022211
411000133310203032121220
510341321432422420240
6114501511512054504
74432132111561066
oct500376443163150
985874738530284
1022024400201320
11702154a814260
122578587094434
13c39b79a2654a
14561db5561036
15282d8a057bea
hex1407f48ce668

22024400201320 has 64 divisors (see below), whose sum is σ = 54391547355840. Its totient is φ = 7959738585600.

The previous prime is 22024400201311. The next prime is 22024400201329. The reversal of 22024400201320 is 2310200442022.

It is an interprime number because it is at equal distance from previous prime (22024400201311) and next prime (22024400201329).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22024400201291 and 22024400201300.

It is not an unprimeable number, because it can be changed into a prime (22024400201329) 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, 153472621 + ... + 153616060.

It is an arithmetic number, because the mean of its divisors is an integer number (849867927435).

Almost surely, 222024400201320 is an apocalyptic number.

22024400201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22024400201320 is an abundant number, since it is smaller than the sum of its proper divisors (32367147154520).

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

22024400201320 is a wasteful number, since it uses less digits than its factorization.

22024400201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307088866 (or 307088862 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22024400201320 its reverse (2310200442022), we get a palindrome (24334600643342).

The spelling of 22024400201320 in words is "twenty-two trillion, twenty-four billion, four hundred million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 71720 307088681 614177362 1228354724 1535443405 2456709448 3070886810 3377975491 6141773620 6755950982 12283547240 13511901964 16889877455 27023803928 33779754910 50055455003 67559509820 100110910006 135119019640 200221820012 250277275015 400443640024 500554550030 550610005033 1001109100060 1101220010066 2002218200120 2202440020132 2753050025165 4404880040264 5506100050330 11012200100660 22024400201320