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22142021010 = 2354740139161
BaseRepresentation
bin10100100111110001…
…000110110110010010
32010011010010012200020
4110213301012312102
5330321324133020
614101044204310
71412462034054
oct244761066622
963133105606
1022142021010
11943265911a
12435b399696
13211b3b91a5
14110098d8d4
15898d33c40
hex527c46d92

22142021010 has 64 divisors (see below), whose sum is σ = 54408236544. Its totient is φ = 5764352000.

The previous prime is 22142021009. The next prime is 22142021023. The reversal of 22142021010 is 1012024122.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 545830 + ... + 584990.

It is an arithmetic number, because the mean of its divisors is an integer number (850128696).

Almost surely, 222142021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27204118272).

22142021010 is an abundant number, since it is smaller than the sum of its proper divisors (32266215534).

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

22142021010 is a wasteful number, since it uses less digits than its factorization.

22142021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39619.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22142021010 its reverse (1012024122), we get a palindrome (23154045132).

The spelling of 22142021010 in words is "twenty-two billion, one hundred forty-two million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 401 470 705 802 1203 1410 2005 2406 4010 6015 12030 18847 37694 39161 56541 78322 94235 113082 117483 188470 195805 234966 282705 391610 565410 587415 1174830 1840567 3681134 5521701 9202835 11043402 15703561 18405670 27608505 31407122 47110683 55217010 78517805 94221366 157035610 235553415 471106830 738067367 1476134734 2214202101 3690336835 4428404202 7380673670 11071010505 22142021010