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2190195072 = 27331329412
BaseRepresentation
bin1000001010001011…
…1011100110000000
312122122020102211000
42002202323212000
513441142220242
61001155252000
7105163231242
oct20242734600
95578212730
102190195072
11a24342a7a
125115aa000
1328b9aa820
1416ac48092
15cc431a4c
hex828bb980

2190195072 has 384 divisors, whose sum is σ = 7381332000. Its totient is φ = 634798080.

The previous prime is 2190195047. The next prime is 2190195089. The reversal of 2190195072 is 2705910912.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53419372 + ... + 53419412.

Almost surely, 22190195072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690666000).

2190195072 is an abundant number, since it is smaller than the sum of its proper divisors (5191136928).

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

2190195072 is a wasteful number, since it uses less digits than its factorization.

2190195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2190195072 is about 46799.5199975384. The cubic root of 2190195072 is about 1298.6564169794.

The spelling of 2190195072 in words is "two billion, one hundred ninety million, one hundred ninety-five thousand, seventy-two".