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148022400 = 2735217907
BaseRepresentation
bin10001101001010…
…10010010000000
3101022112022120010
420310222102000
5300343204100
622404344520
73445112121
oct1064522200
9338468503
10148022400
1176611469
12416a5140
1324888a26
1415932048
15cedd750
hex8d2a480

148022400 has 192 divisors, whose sum is σ = 516797280. Its totient is φ = 37109760.

The previous prime is 148022393. The next prime is 148022401. The reversal of 148022400 is 4220841.

148022400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148022401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162747 + ... + 163653.

Almost surely, 2148022400 is an apocalyptic number.

148022400 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 148022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258398640).

148022400 is an abundant number, since it is smaller than the sum of its proper divisors (368774880).

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

148022400 is a wasteful number, since it uses less digits than its factorization.

148022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 148022400 is about 12166.4456600932. The cubic root of 148022400 is about 528.9839320546.

The spelling of 148022400 in words is "one hundred forty-eight million, twenty-two thousand, four hundred".