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2293396608 = 27323972677
BaseRepresentation
bin1000100010110010…
…0111010010000000
312220211102121201010
42020230213102000
514144102142413
61015323240520
7110555356326
oct21054472200
95824377633
102293396608
11a776208a8
12540079140
132a71a2619
1417a82dd16
15d6519dc3
hex88b27480

2293396608 has 128 divisors (see below), whose sum is σ = 6424629120. Its totient is φ = 723419136.

The previous prime is 2293396603. The next prime is 2293396619. The reversal of 2293396608 is 8066933922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2293396601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855366 + ... + 858042.

It is an arithmetic number, because the mean of its divisors is an integer number (50192415).

Almost surely, 22293396608 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 2293396608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212314560).

2293396608 is an abundant number, since it is smaller than the sum of its proper divisors (4131232512).

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

2293396608 is a wasteful number, since it uses less digits than its factorization.

2293396608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 2293396608 is about 47889.4206271072. The cubic root of 2293396608 is about 1318.7416474453.

The spelling of 2293396608 in words is "two billion, two hundred ninety-three million, three hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 128 138 184 192 194 276 291 368 384 388 552 582 736 776 1104 1164 1472 1552 2208 2231 2328 2677 2944 3104 4416 4462 4656 5354 6208 6693 8031 8832 8924 9312 10708 12416 13386 16062 17848 18624 21416 26772 32124 35696 37248 42832 53544 61571 64248 71392 85664 107088 123142 128496 142784 171328 184713 214176 246284 256992 259669 285568 342656 369426 428352 492568 513984 519338 738852 779007 856704 985136 1027968 1038676 1477704 1558014 1970272 2077352 2955408 3116028 3940544 4154704 5910816 5972387 6232056 7881088 8309408 11821632 11944774 12464112 16618816 17917161 23643264 23889548 24928224 33237632 35834322 47779096 49856448 71668644 95558192 99712896 143337288 191116384 286674576 382232768 573349152 764465536 1146698304 2293396608