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2233674496 = 28311491889
BaseRepresentation
bin1000010100100011…
…0010101100000000
312202200001102101001
42011020302230000
514033310040441
61005351221344
7106231630354
oct20510625400
95680042331
102233674496
11a4693a789
12524077854
132979c1cb1
14172925464
15d116e731
hex85232b00

2233674496 has 72 divisors (see below), whose sum is σ = 4635792000. Its totient is φ = 1072988160.

The previous prime is 2233674493. The next prime is 2233674529. The reversal of 2233674496 is 6944763322.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2233674491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181520 + ... + 1183408.

It is an arithmetic number, because the mean of its divisors is an integer number (64386000).

Almost surely, 22233674496 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 2233674496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317896000).

2233674496 is an abundant number, since it is smaller than the sum of its proper divisors (2402117504).

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

2233674496 is a wasteful number, since it uses less digits than its factorization.

2233674496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2071 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The square root of 2233674496 is about 47261.7656885563. The cubic root of 2233674496 is about 1307.1937472828.

The spelling of 2233674496 in words is "two billion, two hundred thirty-three million, six hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 149 248 256 298 496 596 992 1192 1889 1984 2384 3778 3968 4619 4768 7556 7936 9238 9536 15112 18476 19072 30224 36952 38144 58559 60448 73904 117118 120896 147808 234236 241792 281461 295616 468472 483584 562922 591232 936944 1125844 1182464 1873888 2251688 3747776 4503376 7495552 8725291 9006752 14991104 17450582 18013504 34901164 36027008 69802328 72054016 139604656 279209312 558418624 1116837248 2233674496