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22144000410 = 2325735149207
BaseRepresentation
bin10100100111111000…
…101010000110011010
32010011020211202220100
4110213320222012122
5330322331003120
614101154440230
71412514616650
oct244770520632
963136752810
1022144000410
119433790294
12435bb93076
13211b93012c
141100d46dd0
158990c5490
hex527e2a19a

22144000410 has 48 divisors (see below), whose sum is σ = 65799317376. Its totient is φ = 5061485664.

The previous prime is 22144000397. The next prime is 22144000427. The reversal of 22144000410 is 1400044122.

22144000410 is a `hidden beast` number, since 2 + 214 + 40 + 0 + 0 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 17573974 + ... + 17575233.

It is an arithmetic number, because the mean of its divisors is an integer number (1370819112).

Almost surely, 222144000410 is an apocalyptic number.

22144000410 is an abundant number, since it is smaller than the sum of its proper divisors (43655316966).

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

22144000410 is a wasteful number, since it uses less digits than its factorization.

22144000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35149227 (or 35149224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22144000410 its reverse (1400044122), we get a palindrome (23544044532).

The spelling of 22144000410 in words is "twenty-two billion, one hundred forty-four million, four hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 35149207 70298414 105447621 175746035 210895242 246044449 316342863 351492070 492088898 527238105 632685726 738133347 1054476210 1230222245 1476266694 1581714315 2214400041 2460444490 3163428630 3690666735 4428800082 7381333470 11072000205 22144000410