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2264136192 = 2933237121
BaseRepresentation
bin1000011011110011…
…1111101000000000
312211210101000222000
42012330333220000
514114104324232
61012400144000
7110051561103
oct20674775000
95753330860
102264136192
11a6205603a
12532308000
132a10c9176
141769b473a
15d3b8a27c
hex86f3fa00

2264136192 has 160 divisors (see below), whose sum is σ = 6994373760. Its totient is φ = 721797120.

The previous prime is 2264136187. The next prime is 2264136221. The reversal of 2264136192 is 2916314622.

It is a happy number.

2264136192 is a `hidden beast` number, since 2 + 2 + 641 + 3 + 6 + 1 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314392 + ... + 321512.

It is an arithmetic number, because the mean of its divisors is an integer number (43714836).

Almost surely, 22264136192 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 2264136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497186880).

2264136192 is an abundant number, since it is smaller than the sum of its proper divisors (4730237568).

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

2264136192 is an equidigital number, since it uses as much as digits as its factorization.

2264136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7149 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2264136192 is about 47582.9401361454. The cubic root of 2264136192 is about 1313.1092146504.

The spelling of 2264136192 in words is "two billion, two hundred sixty-four million, one hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 7121 8832 9936 11776 13248 13824 14242 17664 19872 21363 26496 28484 35328 39744 42726 52992 56968 64089 79488 85452 105984 113936 128178 158976 163783 170904 192267 227872 256356 317952 327566 341808 384534 455744 491349 512712 655132 683616 769068 911488 982698 1025424 1310264 1367232 1474047 1538136 1822976 1965396 2050848 2620528 2734464 2948094 3076272 3645952 3930792 4101696 4422141 5241056 5468928 5896188 6152544 7861584 8203392 8844282 10482112 10937856 11792376 12305088 15723168 16406784 17688564 20964224 23584752 24610176 31446336 32813568 35377128 41928448 47169504 49220352 62892672 70754256 83856896 94339008 98440704 125785344 141508512 188678016 251570688 283017024 377356032 566034048 754712064 1132068096 2264136192