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2296793088 = 211323532
BaseRepresentation
bin1000100011100110…
…0100100000000000
312221001211011210200
42020321210200000
514200434334323
61015524125200
7110626263522
oct21071444000
95831734720
102296793088
11a79530707
12541236800
132a7ac1585
1417b075a12
15d698b443
hex88e64800

2296793088 has 108 divisors (see below), whose sum is σ = 6652405305. Its totient is φ = 763428864.

The previous prime is 2296793077. The next prime is 2296793089. The reversal of 2296793088 is 8803976922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2276434944 + 20358144 = 47712^2 + 4512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33888.

It is not an unprimeable number, because it can be changed into a prime (2296793089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6506320 + ... + 6506672.

Almost surely, 22296793088 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 2296793088

2296793088 is an abundant number, since it is smaller than the sum of its proper divisors (4355612217).

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

2296793088 is an frugal number, since it uses more digits than its factorization.

2296793088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2296793088 is about 47924.8692016994. The cubic root of 2296793088 is about 1319.3923373850.

The spelling of 2296793088 in words is "two billion, two hundred ninety-six million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 353 384 512 576 706 768 1024 1059 1152 1412 1536 2048 2118 2304 2824 3072 3177 4236 4608 5648 6144 6354 8472 9216 11296 12708 16944 18432 22592 25416 33888 45184 50832 67776 90368 101664 124609 135552 180736 203328 249218 271104 361472 373827 406656 498436 542208 722944 747654 813312 996872 1084416 1121481 1495308 1626624 1993744 2168832 2242962 2990616 3253248 3987488 4485924 5981232 6506496 7974976 8971848 11962464 15949952 17943696 23924928 31899904 35887392 47849856 63799808 71774784 95699712 127599616 143549568 191399424 255199232 287099136 382798848 574198272 765597696 1148396544 2296793088