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2292747264 = 21032248779
BaseRepresentation
bin1000100010101000…
…1000110000000000
312220210012121222100
42020222020300000
514143420403024
61015301310400
7110550013233
oct21052106000
95823177870
102292747264
11a77217a55
1253ba05400
132a7005bb2
1417a70141a
15d643c7c9
hex88a88c00

2292747264 has 66 divisors (see below), whose sum is σ = 6620284580. Its totient is φ = 764246016.

The previous prime is 2292747253. The next prime is 2292747269. The reversal of 2292747264 is 4627472922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2292747269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115174 + ... + 133605.

Almost surely, 22292747264 is an apocalyptic number.

2292747264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2292747264 is an abundant number, since it is smaller than the sum of its proper divisors (4327537316).

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

2292747264 is a wasteful number, since it uses less digits than its factorization.

2292747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248805 (or 248784 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2292747264 is about 47882.6405286927. The cubic root of 2292747264 is about 1318.6171744541.

It can be divided in two parts, 2292747 and 264, that added together give a triangular number (2293011 = T2141).

The spelling of 2292747264 in words is "two billion, two hundred ninety-two million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 248779 497558 746337 995116 1492674 1990232 2239011 2985348 3980464 4478022 5970696 7960928 8956044 11941392 15921856 17912088 23882784 31843712 35824176 47765568 63687424 71648352 95531136 127374848 143296704 191062272 254749696 286593408 382124544 573186816 764249088 1146373632 2292747264