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146220893 = 71317313049
BaseRepresentation
bin10001011011100…
…10011101011101
3101012010210100122
420231302131131
5244413032033
622302004325
73423566660
oct1055623535
9335123318
10146220893
11755a0a15
1240b766a5
13243a7a50
14155c36d7
15cc84a98
hex8b7275d

146220893 has 32 divisors (see below), whose sum is σ = 196761600. Its totient is φ = 105338880.

The previous prime is 146220887. The next prime is 146220923. The reversal of 146220893 is 398022641.

It is a cyclic number.

It is not a de Polignac number, because 146220893 - 210 = 146219869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146220793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46433 + ... + 49481.

It is an arithmetic number, because the mean of its divisors is an integer number (6148800).

Almost surely, 2146220893 is an apocalyptic number.

146220893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146220893 is a deficient number, since it is larger than the sum of its proper divisors (50540707).

146220893 is a wasteful number, since it uses less digits than its factorization.

146220893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 146220893 is about 12092.1831362248. The cubic root of 146220893 is about 526.8291666397.

The spelling of 146220893 in words is "one hundred forty-six million, two hundred twenty thousand, eight hundred ninety-three".

Divisors: 1 7 13 17 31 91 119 217 221 403 527 1547 2821 3049 3689 6851 21343 39637 47957 51833 94519 277459 362831 661633 673829 1228747 1606823 4716803 8601229 11247761 20888699 146220893