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2193940944 = 2433131929709
BaseRepresentation
bin1000001011000100…
…1110000111010000
312122220021202012000
42002301032013100
513443122102234
61001411434000
7105240122166
oct20261160720
95586252160
102193940944
11a26471338
125128b5900
1328c6bc810
1416b541236
15cc921899
hex82c4e1d0

2193940944 has 320 divisors, whose sum is σ = 7395360000. Its totient is φ = 616605696.

The previous prime is 2193940921. The next prime is 2193940949. The reversal of 2193940944 is 4490493912.

2193940944 is a `hidden beast` number, since 219 + 394 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×21939409442 = 9626753731519222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2193940944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193940949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3094062 + ... + 3094770.

It is an arithmetic number, because the mean of its divisors is an integer number (23110500).

Almost surely, 22193940944 is an apocalyptic number.

2193940944 is a gapful number since it is divisible by the number (24) 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 2193940944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697680000).

2193940944 is an abundant number, since it is smaller than the sum of its proper divisors (5201419056).

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

2193940944 is a wasteful number, since it uses less digits than its factorization.

2193940944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2193940944 is about 46839.5233109817. The cubic root of 2193940944 is about 1299.3963556435.

The spelling of 2193940944 in words is "two billion, one hundred ninety-three million, nine hundred forty thousand, nine hundred forty-four".