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2194070400 = 273252293771
BaseRepresentation
bin1000001011000110…
…1101101110000000
312122220112022202200
42002301231232000
513443140223100
61001414313200
7105241201464
oct20261555600
95586468680
102194070400
11a2654a625
12512958800
1328c736712
1416b5764a4
15cc949e00
hex82c6db80

2194070400 has 576 divisors, whose sum is σ = 8434951200. Its totient is φ = 541900800.

The previous prime is 2194070383. The next prime is 2194070401. The reversal of 2194070400 is 40704912.

It is a happy number.

2194070400 is a `hidden beast` number, since 2 + 194 + 0 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30902365 + ... + 30902435.

Almost surely, 22194070400 is an apocalyptic number.

2194070400 is a gapful number since it is divisible by the number (20) 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 2194070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217475600).

2194070400 is an abundant number, since it is smaller than the sum of its proper divisors (6240880800).

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

2194070400 is a wasteful number, since it uses less digits than its factorization.

2194070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2194070400 is about 46840.9052004762. The cubic root of 2194070400 is about 1299.4219125979.

The spelling of 2194070400 in words is "two billion, one hundred ninety-four million, seventy thousand, four hundred".