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2293456896 = 2133310369
BaseRepresentation
bin1000100010110011…
…0110000000000000
312220211112200102000
42020230312000000
514144111110041
61015324424000
7110556030153
oct21054660000
95824480360
102293456896
11a77662125
125400a8000
132a71c3bb3
1417a847c9a
15d652cbb6
hex88b36000

2293456896 has 112 divisors (see below), whose sum is σ = 6795668400. Its totient is φ = 764411904.

The previous prime is 2293456871. The next prime is 2293456897. The reversal of 2293456896 is 6986543922.

It is a happy number.

2293456896 is a `hidden beast` number, since 22 + 93 + 456 + 89 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293456897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216000 + ... + 226368.

Almost surely, 22293456896 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 2293456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397834200).

2293456896 is an abundant number, since it is smaller than the sum of its proper divisors (4502211504).

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

2293456896 is an equidigital number, since it uses as much as digits as its factorization.

2293456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10374 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2293456896 is about 47890.0500730580. The cubic root of 2293456896 is about 1318.7532028822.

The spelling of 2293456896 in words is "two billion, two hundred ninety-three million, four hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 10369 12288 13824 18432 20738 24576 27648 31107 36864 41476 55296 62214 73728 82952 93321 110592 124428 165904 186642 221184 248856 279963 331808 373284 497712 559926 663616 746568 995424 1119852 1327232 1493136 1990848 2239704 2654464 2986272 3981696 4479408 5308928 5972544 7963392 8958816 10617856 11945088 15926784 17917632 21235712 23890176 31853568 35835264 42471424 47780352 63707136 71670528 84942848 95560704 127414272 143341056 191121408 254828544 286682112 382242816 573364224 764485632 1146728448 2293456896