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149216230800 = 2432527213312099
BaseRepresentation
bin1000101011110111111…
…0101111110110010000
3112021011010122220122200
42022331332233312100
54421043323341200
6152314325403200
713531501014600
oct2127576576620
9467133586580
10149216230800
115831174380a
1224b04269500
13110c00901c0
14731764cc00
153d34db1800
hex22bdfafd90

149216230800 has 1080 divisors, whose sum is σ = 669944620800. Its totient is φ = 30452889600.

The previous prime is 149216230781. The next prime is 149216230817. The reversal of 149216230800 is 8032612941.

149216230800 is a `hidden beast` number, since 1 + 4 + 9 + 21 + 623 + 0 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 71088151 + ... + 71090249.

Almost surely, 2149216230800 is an apocalyptic number.

149216230800 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 149216230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334972310400).

149216230800 is an abundant number, since it is smaller than the sum of its proper divisors (520728390000).

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

149216230800 is a wasteful number, since it uses less digits than its factorization.

149216230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 149216230800 in words is "one hundred forty-nine billion, two hundred sixteen million, two hundred thirty thousand, eight hundred".