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22320112230020 = 225114113331185621
BaseRepresentation
bin1010001001100110011100…
…10111000101111010000100
32221000210002222221112021002
411010303032113011322010
510411143042212330040
6115245415031112432
74462401121416413
oct504631627057204
987023088845232
1022320112230020
1171259a7519220
122605954512718
13c5ba15387a17
14572428dcb47a
1528a8e605ba15
hex144cce5c5e84

22320112230020 has 96 divisors (see below), whose sum is σ = 52384714284672. Its totient is φ = 7917806720000.

The previous prime is 22320112229941. The next prime is 22320112230067. The reversal of 22320112230020 is 2003221102322.

It is a happy number.

It is a super-3 number, since 3×223201122300203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22320112229974 and 22320112230001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120152810 + ... + 120338430.

It is an arithmetic number, because the mean of its divisors is an integer number (545674107132).

Almost surely, 222320112230020 is an apocalyptic number.

22320112230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320112230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26192357142336).

22320112230020 is an abundant number, since it is smaller than the sum of its proper divisors (30064602054652).

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

22320112230020 is a wasteful number, since it uses less digits than its factorization.

22320112230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199013 (or 199011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22320112230020 its reverse (2003221102322), we get a palindrome (24323333332342).

The spelling of 22320112230020 in words is "twenty-two trillion, three hundred twenty billion, one hundred twelve million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 13331 26662 53324 66655 133310 146641 185621 266620 293282 371242 546571 586564 733205 742484 928105 1093142 1466410 1856210 2041831 2186284 2732855 2932820 3712420 4083662 5465710 6012281 7610461 8167324 10209155 10931420 12024562 15220922 20418310 24049124 30061405 30441844 38052305 40836620 60122810 76104610 83715071 120245620 152209220 167430142 334860284 418575355 837150710 1674301420 2474513551 4949027102 9898054204 12372567755 24745135510 27219649061 49490271020 54439298122 101455055591 108878596244 136098245305 202910111182 272196490610 405820222364 507275277955 544392981220 1014550555910 1116005611501 2029101111820 2232011223002 4464022446004 5580028057505 11160056115010 22320112230020