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22424240020 = 22571312321011
BaseRepresentation
bin10100111000100101…
…101011111110010100
32010212210011102101011
4110320211223332110
5331411101140040
614145045142004
71422456616030
oct247045537624
963783142334
1022424240020
119567998476
1244199ba904
1321649cc8a0
14112a2551c0
158b39ce3ea
hex53896bf94

22424240020 has 48 divisors (see below), whose sum is σ = 57958040448. Its totient is φ = 7096901760.

The previous prime is 22424239987. The next prime is 22424240023. The reversal of 22424240020 is 2004242422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22424239973 and 22424240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424240023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6158686 + ... + 6162325.

It is an arithmetic number, because the mean of its divisors is an integer number (1207459176).

Almost surely, 222424240020 is an apocalyptic number.

22424240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424240020 is an abundant number, since it is smaller than the sum of its proper divisors (35533800428).

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

22424240020 is a wasteful number, since it uses less digits than its factorization.

22424240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321040 (or 12321038 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 22424240020 its reverse (2004242422), we get a palindrome (24428482442).

The spelling of 22424240020 in words is "twenty-two billion, four hundred twenty-four million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 12321011 24642022 49284044 61605055 86247077 123210110 160173143 172494154 246420220 320346286 344988308 431235385 640692572 800865715 862470770 1121212001 1601731430 1724941540 2242424002 3203462860 4484848004 5606060005 11212120010 22424240020