Search a number
-
+
148822920 = 2335561251
BaseRepresentation
bin10001101111011…
…01101110001000
3101101000222200000
420313231232020
5301044313140
622433443000
73454655031
oct1067555610
9341028600
10148822920
1177008954
1241a10460
1324aa91cc
1415a9da88
15d0eaa30
hex8dedb88

148822920 has 192 divisors, whose sum is σ = 511842240. Its totient is φ = 38880000.

The previous prime is 148822889. The next prime is 148822937. The reversal of 148822920 is 29228841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592795 + ... + 593045.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2148822920 is an apocalyptic number.

148822920 is a gapful number since it is divisible by the number (10) 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 148822920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

148822920 is an abundant number, since it is smaller than the sum of its proper divisors (363019320).

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

148822920 is a wasteful number, since it uses less digits than its factorization.

148822920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 148822920 is about 12199.2999799169. The cubic root of 148822920 is about 529.9358175513.

The spelling of 148822920 in words is "one hundred forty-eight million, eight hundred twenty-two thousand, nine hundred twenty".