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31222020440 = 23513103158237
BaseRepresentation
bin11101000100111110…
…100011100101011000
32222120220201222021102
4131010332203211120
51002420314123230
622202044130532
72153465536442
oct350476434530
988526658242
1031222020440
1112272020086
126074236a48
132c375c9510
14172286b492
15c2b064045
hex744fa3958

31222020440 has 64 divisors (see below), whose sum is σ = 75728036160. Its totient is φ = 11516751360.

The previous prime is 31222020437. The next prime is 31222020469. The reversal of 31222020440 is 4402022213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507002 + ... + 565238.

It is an arithmetic number, because the mean of its divisors is an integer number (1183250565).

Almost surely, 231222020440 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 31222020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864018080).

31222020440 is an abundant number, since it is smaller than the sum of its proper divisors (44506015720).

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

31222020440 is a wasteful number, since it uses less digits than its factorization.

31222020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59292 (or 59288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 31222020440 its reverse (4402022213), we get a palindrome (35624042653).

The spelling of 31222020440 in words is "thirty-one billion, two hundred twenty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1031 2062 4124 5155 8248 10310 13403 20620 26806 41240 53612 58237 67015 107224 116474 134030 232948 268060 291185 465896 536120 582370 757081 1164740 1514162 2329480 3028324 3785405 6056648 7570810 15141620 30283240 60042347 120084694 240169388 300211735 480338776 600423470 780550511 1200846940 1561101022 2401693880 3122202044 3902752555 6244404088 7805505110 15611010220 31222020440