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3022022120 = 2351310135737
BaseRepresentation
bin1011010000100000…
…0110010111101000
321210121110122000012
42310020012113220
522142114201440
61215512231052
7134613523055
oct26410062750
97717418005
103022022120
111310941a47
1270409b488
13392125190
142094da02c
1512a493e65
hexb42065e8

3022022120 has 64 divisors (see below), whose sum is σ = 7331098320. Its totient is φ = 1114527744.

The previous prime is 3022022117. The next prime is 3022022131. The reversal of 3022022120 is 212202203.

It can be written as a sum of positive squares in 8 ways, for example, as 116165284 + 2905856836 = 10778^2 + 53906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3022022095 and 3022022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523892 + ... + 529628.

Almost surely, 23022022120 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 3022022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665549160).

3022022120 is an abundant number, since it is smaller than the sum of its proper divisors (4309076200).

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

3022022120 is a wasteful number, since it uses less digits than its factorization.

3022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3022022120 is about 54972.9216978687. The cubic root of 3022022120 is about 1445.7700138057.

Adding to 3022022120 its reverse (212202203), we get a palindrome (3234224323).

The spelling of 3022022120 in words is "three billion, twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1013 2026 4052 5065 5737 8104 10130 11474 13169 20260 22948 26338 28685 40520 45896 52676 57370 65845 74581 105352 114740 131690 149162 229480 263380 298324 372905 526760 596648 745810 1491620 2983240 5811581 11623162 23246324 29057905 46492648 58115810 75550553 116231620 151101106 232463240 302202212 377752765 604404424 755505530 1511011060 3022022120