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22144021004 = 2273109148073
BaseRepresentation
bin10100100111111000…
…101111001000001100
32010011020212211011002
4110213320233020030
5330322332133004
614101155115432
71412515034000
oct244770571014
963136784132
1022144021004
1194337a4806
12435bba2b78
13211b939611
141100d50700
158990cb61e
hex527e2f20c

22144021004 has 48 divisors (see below), whose sum is σ = 45606792000. Its totient is φ = 9403164288.

The previous prime is 22144020989. The next prime is 22144021013. The reversal of 22144021004 is 40012044122.

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 15 ways as a sum of consecutive naturals, for example, 75512 + ... + 223584.

It is an arithmetic number, because the mean of its divisors is an integer number (950141500).

Almost surely, 222144021004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803396000).

22144021004 is an abundant number, since it is smaller than the sum of its proper divisors (23462770996).

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

22144021004 is a wasteful number, since it uses less digits than its factorization.

22144021004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148207 (or 148191 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22144021004 its reverse (40012044122), we get a palindrome (62156065126).

The spelling of 22144021004 in words is "twenty-two billion, one hundred forty-four million, twenty-one thousand, four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 343 436 686 763 1372 1526 3052 5341 10682 21364 37387 74774 148073 149548 296146 592292 1036511 2073022 4146044 7255577 14511154 16139957 29022308 32279914 50789039 64559828 101578078 112979699 203156156 225959398 451918796 790857893 1581715786 3163431572 5536005251 11072010502 22144021004