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146955216 = 24322313729
BaseRepresentation
bin10001100001001…
…01101111010000
3101020112002122210
420300211233100
5300110031331
622325432120
73433045602
oct1060455720
9336462583
10146955216
1175a526a1
124126b640
13245a4065
1415735172
15cd7c446
hex8c25bd0

146955216 has 40 divisors (see below), whose sum is σ = 381364480. Its totient is φ = 48761856.

The previous prime is 146955203. The next prime is 146955223. The reversal of 146955216 is 612559641.

146955216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840 + ... + 17568.

It is an arithmetic number, because the mean of its divisors is an integer number (9534112).

Almost surely, 2146955216 is an apocalyptic number.

146955216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146955216 is an abundant number, since it is smaller than the sum of its proper divisors (234409264).

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

146955216 is a wasteful number, since it uses less digits than its factorization.

146955216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13957 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 146955216 is about 12122.5086512652. The cubic root of 146955216 is about 527.7096084545.

The spelling of 146955216 in words is "one hundred forty-six million, nine hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 223 446 669 892 1338 1784 2676 3568 5352 10704 13729 27458 41187 54916 82374 109832 164748 219664 329496 658992 3061567 6123134 9184701 12246268 18369402 24492536 36738804 48985072 73477608 146955216