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2243104696 = 23731241681
BaseRepresentation
bin1000010110110011…
…0000111110111000
312210022210112011201
42011230300332320
514043213322241
61010325303544
7106405034560
oct20554607670
95708715151
102243104696
11a511a0838
12527264bb4
132999443b1
14173c9bda0
15d1dd3931
hex85b30fb8

2243104696 has 48 divisors (see below), whose sum is σ = 4966827120. Its totient is φ = 930297600.

The previous prime is 2243104691. The next prime is 2243104697. The reversal of 2243104696 is 6964013422.

It is a happy number.

2243104696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243104691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32976 + ... + 74656.

It is an arithmetic number, because the mean of its divisors is an integer number (103475565).

Almost surely, 22243104696 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 2243104696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483413560).

2243104696 is an abundant number, since it is smaller than the sum of its proper divisors (2723722424).

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

2243104696 is a wasteful number, since it uses less digits than its factorization.

2243104696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41756 (or 41721 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2243104696 is about 47361.4262454162. The cubic root of 2243104696 is about 1309.0307489621.

The spelling of 2243104696 in words is "two billion, two hundred forty-three million, one hundred four thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 961 1736 1922 3844 6727 7688 13454 26908 41681 53816 83362 166724 291767 333448 583534 1167068 1292111 2334136 2584222 5168444 9044777 10336888 18089554 36179108 40055441 72358216 80110882 160221764 280388087 320443528 560776174 1121552348 2243104696