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2243664504 = 2332199156593
BaseRepresentation
bin1000010110111011…
…1001101001111000
312210100211222002100
42011232321221320
514043334231004
61010345303400
7106412555634
oct20556715170
95710758070
102243664504
11a51543394
12527494b60
13299aac143
14173da5dc4
15d1e94739
hex85bb9a78

2243664504 has 48 divisors (see below), whose sum is σ = 6107166000. Its totient is φ = 744125184.

The previous prime is 2243664503. The next prime is 2243664517. The reversal of 2243664504 is 4054663422.

2243664504 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 6 + 645 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243664503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63969 + ... + 92624.

It is an arithmetic number, because the mean of its divisors is an integer number (127232625).

Almost surely, 22243664504 is an apocalyptic number.

2243664504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2243664504 is an abundant number, since it is smaller than the sum of its proper divisors (3863501496).

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

2243664504 is a wasteful number, since it uses less digits than its factorization.

2243664504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156804 (or 156797 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2243664504 is about 47367.3358338845. The cubic root of 2243664504 is about 1309.1396374644.

The spelling of 2243664504 in words is "two billion, two hundred forty-three million, six hundred sixty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 156593 313186 469779 626372 939558 1252744 1409337 1879116 2818674 3758232 5637348 11274696 31162007 62324014 93486021 124648028 186972042 249296056 280458063 373944084 560916126 747888168 1121832252 2243664504