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149488200 = 233352193147
BaseRepresentation
bin10001110100100…
…00001001001000
3101102021210021000
420322100021020
5301232110300
622500015000
73463425441
oct1072201110
9342253230
10149488200
1177422774
1242091460
1324c7cc74
1415bd42c8
15d1ccc00
hex8e90248

149488200 has 384 divisors, whose sum is σ = 571392000. Its totient is φ = 35769600.

The previous prime is 149488193. The next prime is 149488331. The reversal of 149488200 is 2884941.

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 95 ways as a sum of consecutive naturals, for example, 3180577 + ... + 3180623.

It is an arithmetic number, because the mean of its divisors is an integer number (1488000).

Almost surely, 2149488200 is an apocalyptic number.

149488200 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 149488200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

149488200 is an abundant number, since it is smaller than the sum of its proper divisors (421903800).

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

149488200 is a wasteful number, since it uses less digits than its factorization.

149488200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

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

The square root of 149488200 is about 12226.5367132316. The cubic root of 149488200 is about 530.7242974904.

The spelling of 149488200 in words is "one hundred forty-nine million, four hundred eighty-eight thousand, two hundred".