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146022401 = 7217307571
BaseRepresentation
bin10001011010000…
…10000000000001
3101011202201002002
420231002000001
5244340204101
622253433345
73422112200
oct1055020001
9334681062
10146022401
1175475878
1240a9b855
13243385b5
1415571237
15cc45d6b
hex8b42001

146022401 has 24 divisors (see below), whose sum is σ = 180756576. Its totient is φ = 117210240.

The previous prime is 146022397. The next prime is 146022427. The reversal of 146022401 is 104220641.

It is not a de Polignac number, because 146022401 - 22 = 146022397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146022491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255446 + ... + 256016.

It is an arithmetic number, because the mean of its divisors is an integer number (7531524).

Almost surely, 2146022401 is an apocalyptic number.

It is an amenable number.

146022401 is a deficient number, since it is larger than the sum of its proper divisors (34734175).

146022401 is a wasteful number, since it uses less digits than its factorization.

146022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 902 counting only the distinct ones).

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

The square root of 146022401 is about 12083.9728980166. The cubic root of 146022401 is about 526.5906719294.

The spelling of 146022401 in words is "one hundred forty-six million, twenty-two thousand, four hundred one".

Divisors: 1 7 17 49 119 307 571 833 2149 3997 5219 9707 15043 27979 36533 67949 175297 255731 475643 1227079 2980049 8589553 20860343 146022401