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149204122200 = 23345273142443
BaseRepresentation
bin1000101011110101000…
…0100011101001011000
3112021010021212201210000
42022331100203221120
54421032223402300
6152313214053000
713531263053550
oct2127520435130
9467107781700
10149204122200
1158305923401
1224b001aa160
13110ba710953
147315bba160
153d33cbdc00
hex22bd423a58

149204122200 has 480 divisors, whose sum is σ = 611356584960. Its totient is φ = 33002899200.

The previous prime is 149204122159. The next prime is 149204122211. The reversal of 149204122200 is 2221402941.

149204122200 is a `hidden beast` number, since 1 + 4 + 9 + 20 + 412 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3494179 + ... + 3536621.

It is an arithmetic number, because the mean of its divisors is an integer number (1273659552).

Almost surely, 2149204122200 is an apocalyptic number.

149204122200 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 149204122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305678292480).

149204122200 is an abundant number, since it is smaller than the sum of its proper divisors (462152462760).

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

149204122200 is a wasteful number, since it uses less digits than its factorization.

149204122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509 (or 42491 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 149204122200 in words is "one hundred forty-nine billion, two hundred four million, one hundred twenty-two thousand, two hundred".