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149228352 = 2633713273
BaseRepresentation
bin10001110010100…
…00101101000000
3101101210120211000
420321100231000
5301200301402
622450252000
73461264040
oct1071205500
9341716730
10149228352
1177265519
1241b87000
1324bbb900
1415b67720
15d17ac1c
hex8e50b40

149228352 has 336 divisors, whose sum is σ = 550346880. Its totient is φ = 38817792.

The previous prime is 149228351. The next prime is 149228377. The reversal of 149228352 is 253822941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149228351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044188 + ... + 2044260.

Almost surely, 2149228352 is an apocalyptic number.

149228352 is a gapful number since it is divisible by the number (12) 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 149228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275173440).

149228352 is an abundant number, since it is smaller than the sum of its proper divisors (401118528).

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

149228352 is a wasteful number, since it uses less digits than its factorization.

149228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 149228352 is about 12215.9056970820. The cubic root of 149228352 is about 530.4166084765.

The spelling of 149228352 in words is "one hundred forty-nine million, two hundred twenty-eight thousand, three hundred fifty-two".