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2296298352 = 243195347507
BaseRepresentation
bin1000100011011110…
…1011101101110000
312221000220001011010
42020313223231300
514200323021402
61015505350520
7110622133245
oct21067535560
95830801133
102296298352
11a79222a37
12541038440
132a797a32a
1417ad875cc
15d68dea6c
hex88debb70

2296298352 has 80 divisors (see below), whose sum is σ = 6362271360. Its totient is φ = 711449856.

The previous prime is 2296298351. The next prime is 2296298353. The reversal of 2296298352 is 2538926922.

It is an interprime number because it is at equal distance from previous prime (2296298351) and next prime (2296298353).

It is a super-2 number, since 2×22962983522 = 10545972242795831808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296298351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24583 + ... + 72089.

It is an arithmetic number, because the mean of its divisors is an integer number (79528392).

Almost surely, 22296298352 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 2296298352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181135680).

2296298352 is an abundant number, since it is smaller than the sum of its proper divisors (4065973008).

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

2296298352 is a wasteful number, since it uses less digits than its factorization.

2296298352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47590 (or 47584 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2296298352 is about 47919.7073446823. The cubic root of 2296298352 is about 1319.2975969163.

The spelling of 2296298352 in words is "two billion, two hundred ninety-six million, two hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 12084 16112 24168 47507 48336 95014 142521 190028 285042 380056 570084 760112 902633 1140168 1805266 2280336 2517871 2707899 3610532 5035742 5415798 7221064 7553613 10071484 10831596 14442128 15107226 20142968 21663192 30214452 40285936 43326384 47839549 60428904 95679098 120857808 143518647 191358196 287037294 382716392 574074588 765432784 1148149176 2296298352