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322253252420 = 225112569234029
BaseRepresentation
bin1001011000001111100…
…10100110011101000100
31010210210101100101020012
410230013302212131010
520234433313034140
6404012513325352
732165510310311
oct4540762463504
91123711311205
10322253252420
11114737618200
1252555b66858
13245082917a8
14118507a7d08
1585b1165265
hex4b07ca6744

322253252420 has 72 divisors (see below), whose sum is σ = 745156200600. Its totient is φ = 116976555520.

The previous prime is 322253252411. The next prime is 322253252467. The reversal of 322253252420 is 24252352223.

It can be written as a sum of positive squares in 4 ways, for example, as 1754604544 + 320498647876 = 41888^2 + 566126^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259966 + ... + 1493994.

It is an arithmetic number, because the mean of its divisors is an integer number (10349391675).

Almost surely, 2322253252420 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 322253252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372578100300).

322253252420 is an abundant number, since it is smaller than the sum of its proper divisors (422902948180).

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

322253252420 is a wasteful number, since it uses less digits than its factorization.

322253252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234629 (or 234616 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 322253252420 in words is "three hundred twenty-two billion, two hundred fifty-three million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 569 605 1138 1210 2276 2420 2845 5690 6259 11380 12518 25036 31295 62590 68849 125180 137698 234029 275396 344245 468058 688490 936116 1170145 1376980 2340290 2574319 4680580 5148638 10297276 12871595 25743190 28317509 51486380 56635018 113270036 133162501 141587545 266325002 283175090 532650004 566350180 665812505 1331625010 1464787511 2663250020 2929575022 5859150044 7323937555 14647875110 16112662621 29295750220 32225325242 64450650484 80563313105 161126626210 322253252420