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2023255146 = 23116726829
BaseRepresentation
bin111100010011000…
…0110110001101010
312020000010000021210
41320212012301222
513120423131041
6532433213550
7101065246023
oct17046066152
95200100253
102023255146
119490905a0
124857012b6
1326322a2c3
141529cdc4a
15bc958016
hex78986c6a

2023255146 has 48 divisors (see below), whose sum is σ = 4481900640. Its totient is φ = 603868320.

The previous prime is 2023255133. The next prime is 2023255163. The reversal of 2023255146 is 6415523202.

It is a super-2 number, since 2×20232551462 = 8187122771630962632, which contains 22 as substring.

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, 292860 + ... + 299688.

It is an arithmetic number, because the mean of its divisors is an integer number (93372930).

Almost surely, 22023255146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023255146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240950320).

2023255146 is an abundant number, since it is smaller than the sum of its proper divisors (2458645494).

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

2023255146 is a wasteful number, since it uses less digits than its factorization.

2023255146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2023255146 is about 44980.6085552430. The cubic root of 2023255146 is about 1264.7855190014.

Adding to 2023255146 its reverse (6415523202), we get a palindrome (8438778348).

The spelling of 2023255146 in words is "two billion, twenty-three million, two hundred fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 4422 4489 6829 8978 13467 13658 20487 26934 40974 49379 75119 98758 148137 150238 225357 296274 450714 457543 915086 1372629 2745258 5032973 10065946 15098919 30197838 30655381 61310762 91966143 183932286 337209191 674418382 1011627573 2023255146