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3022000120 = 23541831492
BaseRepresentation
bin1011010000100000…
…0000111111111000
321210121102111211101
42310020000333320
522142113000440
61215511541144
7134613401656
oct26410007770
97717374741
103022000120
111310927467
1270408a7b4
13392118169
142094d1dd6
1512a48c69a
hexb4200ff8

3022000120 has 96 divisors (see below), whose sum is σ = 7096889520. Its totient is φ = 1157288960.

The previous prime is 3022000109. The next prime is 3022000147. The reversal of 3022000120 is 210002203.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3022000097 and 3022000106.

It is a congruent number.

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, 20281806 + ... + 20281954.

Almost surely, 23022000120 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 3022000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548444760).

3022000120 is an abundant number, since it is smaller than the sum of its proper divisors (4074889400).

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

3022000120 is a wasteful number, since it uses less digits than its factorization.

3022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3022000120 is about 54972.7215989894. The cubic root of 3022000120 is about 1445.7665054465.

Adding to 3022000120 its reverse (210002203), we get a palindrome (3232002323).

The spelling of 3022000120 in words is "three billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 82 83 149 164 166 205 298 328 332 410 415 596 664 745 820 830 1192 1490 1640 1660 2980 3320 3403 5960 6109 6806 12218 12367 13612 17015 22201 24436 24734 27224 30545 34030 44402 48872 49468 61090 61835 68060 88804 98936 111005 122180 123670 136120 177608 222010 244360 247340 444020 494680 507047 888040 910241 1014094 1820482 1842683 2028188 2535235 3640964 3685366 4056376 4551205 5070470 7281928 7370732 9102410 9213415 10140940 14741464 18204820 18426830 20281880 36409640 36853660 73707320 75550003 151100006 302200012 377750015 604400024 755500030 1511000060 3022000120