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22421300440 = 23572111039949
BaseRepresentation
bin10100111000011010…
…011110010011011000
32010212120122002000211
4110320122132103120
5331404323103230
614144502140504
71422422623600
oct247032362330
963776562024
1022421300440
11956626a970
124418a21734
1321642108a6
141129acbc00
158b35ed42a
hex53869e4d8

22421300440 has 96 divisors (see below), whose sum is σ = 64019322000. Its totient is φ = 6988450560.

The previous prime is 22421300431. The next prime is 22421300449. The reversal of 22421300440 is 4400312422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22421300431) and next prime (22421300449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421300449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498415 + ... + 541534.

Almost surely, 222421300440 is an apocalyptic number.

22421300440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22421300440 is an abundant number, since it is smaller than the sum of its proper divisors (41598021560).

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

22421300440 is a wasteful number, since it uses less digits than its factorization.

22421300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039985 (or 1039974 counting only the distinct ones).

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

Adding to 22421300440 its reverse (4400312422), we get a palindrome (26821612862).

The spelling of 22421300440 in words is "twenty-two billion, four hundred twenty-one million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 1039949 2079898 4159796 5199745 7279643 8319592 10399490 11439439 14559286 20798980 22878878 29118572 36398215 41597960 45757756 50957501 57197195 58237144 72796430 80076073 91515512 101915002 114394390 145592860 160152146 203830004 228788780 254787505 291185720 320304292 400380365 407660008 457577560 509575010 560532511 640608584 800760730 1019150020 1121065022 1601521460 2038300040 2242130044 2802662555 3203042920 4484260088 5605325110 11210650220 22421300440