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148922016 = 25331163307
BaseRepresentation
bin10001110000001…
…01111010100000
3101101020000121020
420320011322200
5301111001031
622435525440
73455546655
oct1070057240
9341200536
10148922016
1177076351
1241a59880
1324b12349
1415ac7c2c
15d11a096
hex8e05ea0

148922016 has 96 divisors (see below), whose sum is σ = 407328768. Its totient is φ = 47589120.

The previous prime is 148921999. The next prime is 148922027. The reversal of 148922016 is 610229841.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484935 + ... + 485241.

It is an arithmetic number, because the mean of its divisors is an integer number (4243008).

Almost surely, 2148922016 is an apocalyptic number.

148922016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148922016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203664384).

148922016 is an abundant number, since it is smaller than the sum of its proper divisors (258406752).

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

148922016 is a wasteful number, since it uses less digits than its factorization.

148922016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 148922016 is about 12203.3608485532. The cubic root of 148922016 is about 530.0534133898.

The spelling of 148922016 in words is "one hundred forty-eight million, nine hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 163 186 248 307 326 372 489 496 614 652 744 921 978 992 1228 1304 1488 1842 1956 2456 2608 2976 3684 3912 4912 5053 5216 7368 7824 9517 9824 10106 14736 15159 15648 19034 20212 28551 29472 30318 38068 40424 50041 57102 60636 76136 80848 100082 114204 121272 150123 152272 161696 200164 228408 242544 300246 304544 400328 456816 485088 600492 800656 913632 1200984 1551271 1601312 2401968 3102542 4653813 4803936 6205084 9307626 12410168 18615252 24820336 37230504 49640672 74461008 148922016