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2330874496 = 27372232207
BaseRepresentation
bin1000101011101110…
…0101001010000000
320000102221200201001
42022323211022000
514233200440441
61023142421344
7111522051316
oct21273451200
96012850631
102330874496
11a96799565
12550731854
132b1b951a2
141817c80b6
15d996e731
hex8aee5280

2330874496 has 64 divisors (see below), whose sum is σ = 4792596480. Its totient is φ = 1128342528.

The previous prime is 2330874493. The next prime is 2330874517. The reversal of 2330874496 is 6944780332.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23308744962 = 10865951832206508032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2330874493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055025 + ... + 1057231.

It is an arithmetic number, because the mean of its divisors is an integer number (74884320).

Almost surely, 22330874496 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 2330874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396298240).

2330874496 is an abundant number, since it is smaller than the sum of its proper divisors (2461721984).

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

2330874496 is a wasteful number, since it uses less digits than its factorization.

2330874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The square root of 2330874496 is about 48279.1310609460. The cubic root of 2330874496 is about 1325.8863410546.

The spelling of 2330874496 in words is "two billion, three hundred thirty million, eight hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 223 296 446 592 892 1184 1784 2207 2368 3568 4414 4736 7136 8251 8828 14272 16502 17656 28544 33004 35312 66008 70624 81659 132016 141248 163318 264032 282496 326636 492161 528064 653272 984322 1056128 1306544 1968644 2613088 3937288 5226176 7874576 10452352 15749152 18209957 31498304 36419914 62996608 72839828 145679656 291359312 582718624 1165437248 2330874496