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146672172 = 223219214433
BaseRepresentation
bin10001011111000…
…00101000101100
3101012222201101200
420233200220230
5300022002142
622315405500
73430456443
oct1057405054
9335881350
10146672172
1175879a79
1241153890
132450528a
141569dd5a
15cd2364c
hex8be0a2c

146672172 has 36 divisors (see below), whose sum is σ = 390269880. Its totient is φ = 46317312.

The previous prime is 146672167. The next prime is 146672177. The reversal of 146672172 is 271276641.

146672172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146672167) and next prime (146672177).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146672177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106533 + ... + 107900.

It is an arithmetic number, because the mean of its divisors is an integer number (10840830).

Almost surely, 2146672172 is an apocalyptic number.

146672172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146672172 is an abundant number, since it is smaller than the sum of its proper divisors (243597708).

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

146672172 is a wasteful number, since it uses less digits than its factorization.

146672172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214462 (or 214457 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 146672172 is about 12110.8287082264. The cubic root of 146672172 is about 527.3705912573.

The spelling of 146672172 in words is "one hundred forty-six million, six hundred seventy-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 214433 428866 643299 857732 1286598 1929897 2573196 3859794 4074227 7719588 8148454 12222681 16296908 24445362 36668043 48890724 73336086 146672172