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322230000120 = 23357383607143
BaseRepresentation
bin1001011000001100110…
…01111001100111111000
31010210201202121001001220
410230012121321213320
520234411340000440
6404010323112040
732165105544330
oct4540631714770
91123652531056
10322230000120
11114725486426
125254a212620
132450350cc32
141184b6740c0
1585ae0c08d0
hex4b066799f8

322230000120 has 64 divisors (see below), whose sum is σ = 1104788574720. Its totient is φ = 73652571264.

The previous prime is 322230000047. The next prime is 322230000139. The reversal of 322230000120 is 21000032223.

It is a super-3 number, since 3×3222300001203 (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 322230000120.

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, 191802732 + ... + 191804411.

It is an arithmetic number, because the mean of its divisors is an integer number (17262321480).

Almost surely, 2322230000120 is an apocalyptic number.

322230000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322230000120 is an abundant number, since it is smaller than the sum of its proper divisors (782558574600).

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

322230000120 is a wasteful number, since it uses less digits than its factorization.

322230000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383607164 (or 383607160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 322230000120 its reverse (21000032223), we get a palindrome (343230032343).

The spelling of 322230000120 in words is "three hundred twenty-two billion, two hundred thirty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 383607143 767214286 1150821429 1534428572 1918035715 2301642858 2685250001 3068857144 3836071430 4603285716 5370500002 5754107145 7672142860 8055750003 9206571432 10741000004 11508214290 13426250005 15344285720 16111500006 21482000008 23016428580 26852500010 32223000012 40278750015 46032857160 53705000020 64446000024 80557500030 107410000040 161115000060 322230000120