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2190623744 = 21059101359
BaseRepresentation
bin1000001010010010…
…0100010000000000
312122200001012211202
42002210210100000
513441244424434
61001212400332
7105166665101
oct20244442000
95580035752
102190623744
11a24606051
125117760a8
1328baca98a
1416ad1a3a8
15cc4b8a7e
hex82924400

2190623744 has 88 divisors (see below), whose sum is σ = 4509950400. Its totient is φ = 1063116800.

The previous prime is 2190623717. The next prime is 2190623767. The reversal of 2190623744 is 4473260912.

It is a junction number, because it is equal to n+sod(n) for n = 2190623698 and 2190623707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6101837 + ... + 6102195.

Almost surely, 22190623744 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 2190623744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254975200).

2190623744 is an abundant number, since it is smaller than the sum of its proper divisors (2319326656).

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

2190623744 is a wasteful number, since it uses less digits than its factorization.

2190623744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 2190623744 is about 46804.0996494965. The cubic root of 2190623744 is about 1298.7411371846.

The spelling of 2190623744 in words is "two billion, one hundred ninety million, six hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 101 118 128 202 236 256 359 404 472 512 718 808 944 1024 1436 1616 1888 2872 3232 3776 5744 5959 6464 7552 11488 11918 12928 15104 21181 22976 23836 25856 30208 36259 42362 45952 47672 51712 60416 72518 84724 91904 95344 103424 145036 169448 183808 190688 290072 338896 367616 381376 580144 677792 762752 1160288 1355584 1525504 2139281 2320576 2711168 3051008 4278562 4641152 5422336 6102016 8557124 9282304 10844672 17114248 18564608 21689344 34228496 37129216 68456992 136913984 273827968 547655936 1095311872 2190623744