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2297064564 = 2232131487079
BaseRepresentation
bin1000100011101010…
…0110110001110100
312221002022222012100
42020322212301310
514201022031224
61015534022100
7110631504144
oct21072466164
95832288170
102297064564
11a796a6673
12541347930
132a7b88002
1417b106924
15d69e1ac9
hex88ea6c74

2297064564 has 36 divisors (see below), whose sum is σ = 5850804960. Its totient is φ = 759841680.

The previous prime is 2297064559. The next prime is 2297064569. The reversal of 2297064564 is 4654607922.

2297064564 is a `hidden beast` number, since 2 + 29 + 7 + 0 + 64 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (2297064559) and next prime (2297064569).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22970645642 = 10553011222369020192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297064569) 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, 238824 + ... + 248255.

It is an arithmetic number, because the mean of its divisors is an integer number (162522360).

Almost surely, 22297064564 is an apocalyptic number.

It is an amenable number.

2297064564 is an abundant number, since it is smaller than the sum of its proper divisors (3553740396).

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

2297064564 is a wasteful number, since it uses less digits than its factorization.

2297064564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487220 (or 487215 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2297064564 is about 47927.7014262107. The cubic root of 2297064564 is about 1319.4443184487. Note that the first 3 decimals are identical.

It can be divided in two parts, 229706 and 4564, that added together give a triangular number (234270 = T684).

The spelling of 2297064564 in words is "two billion, two hundred ninety-seven million, sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 487079 974158 1461237 1948316 2922474 4383711 5844948 8767422 17534844 63807349 127614698 191422047 255229396 382844094 574266141 765688188 1148532282 2297064564