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2301042168 = 23344775553
BaseRepresentation
bin1000100100100111…
…0001110111111000
312221100211001110000
42021021301313320
514203031322133
61020155153000
7111010351515
oct21111616770
95840731400
102301042168
11a80973047
12542745760
132a894b619
1417b86030c
15d702a413
hex89271df8

2301042168 has 80 divisors (see below), whose sum is σ = 6582264480. Its totient is φ = 750684672.

The previous prime is 2301042167. The next prime is 2301042181. The reversal of 2301042168 is 8612401032.

2301042168 is a `hidden beast` number, since 230 + 1 + 0 + 421 + 6 + 8 = 666.

2301042168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301042167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7321 + ... + 68232.

It is an arithmetic number, because the mean of its divisors is an integer number (82278306).

Almost surely, 22301042168 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 2301042168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291132240).

2301042168 is an abundant number, since it is smaller than the sum of its proper divisors (4281222312).

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

2301042168 is a wasteful number, since it uses less digits than its factorization.

2301042168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75618 (or 75605 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2301042168 is about 47969.1793550817. The cubic root of 2301042168 is about 1320.2054638847.

The spelling of 2301042168 in words is "two billion, three hundred one million, forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 3384 3807 5076 7614 10152 15228 30456 75553 151106 226659 302212 453318 604424 679977 906636 1359954 1813272 2039931 2719908 3550991 4079862 5439816 6119793 7101982 8159724 10652973 12239586 14203964 16319448 21305946 24479172 28407928 31958919 42611892 48958344 63917838 85223784 95876757 127835676 191753514 255671352 287630271 383507028 575260542 767014056 1150521084 2301042168