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20220146120 = 2351729735509
BaseRepresentation
bin10010110101001101…
…101111000111001000
31221012011202211221202
4102311031233013020
5312402324133440
613142231523332
71314034256216
oct226515570710
957164684852
1020220146120
118636822069
123b03829548
131ba3196a05
14d9b62dcb6
157d5254615
hex4b536f1c8

20220146120 has 32 divisors (see below), whose sum is σ = 48171526200. Its totient is φ = 7612290048.

The previous prime is 20220146113. The next prime is 20220146131. The reversal of 20220146120 is 2164102202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18108008356 + 2112137764 = 134566^2 + 45958^2 .

It is a super-2 number, since 2×202201461202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20220146092 and 20220146101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14867075 + ... + 14868434.

Almost surely, 220220146120 is an apocalyptic number.

20220146120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220146120 is an abundant number, since it is smaller than the sum of its proper divisors (27951380080).

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

20220146120 is a wasteful number, since it uses less digits than its factorization.

20220146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29735537 (or 29735533 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20220146120 its reverse (2164102202), we get a palindrome (22384248322).

The spelling of 20220146120 in words is "twenty billion, two hundred twenty million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 29735509 59471018 118942036 148677545 237884072 297355090 505503653 594710180 1011007306 1189420360 2022014612 2527518265 4044029224 5055036530 10110073060 20220146120