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2330432272 = 24737215199
BaseRepresentation
bin1000101011100111…
…1001001100010000
320000102010020002101
42022321321030100
514233042313042
61023125130144
7111515230120
oct21271711420
96012106071
102330432272
11a96517293
12550559954
132b1a6bb0c
14181710c80
15d98d36b7
hex8ae79310

2330432272 has 60 divisors (see below), whose sum is σ = 5303827200. Its totient is φ = 971699328.

The previous prime is 2330432263. The next prime is 2330432281. The reversal of 2330432272 is 2722340332.

It is an interprime number because it is at equal distance from previous prime (2330432263) and next prime (2330432281).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2330432272.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145729 + ... + 160927.

It is an arithmetic number, because the mean of its divisors is an integer number (88397120).

Almost surely, 22330432272 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 2330432272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651913600).

2330432272 is an abundant number, since it is smaller than the sum of its proper divisors (2973394928).

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

2330432272 is a wasteful number, since it uses less digits than its factorization.

2330432272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15288 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 2330432272 is about 48274.5509766792. The cubic root of 2330432272 is about 1325.8024847098.

The spelling of 2330432272 in words is "two billion, three hundred thirty million, four hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 1369 2072 2738 4144 5476 9583 10952 15199 19166 21904 30398 38332 60796 76664 106393 121592 153328 212786 243184 425572 562363 851144 1124726 1702288 2249452 3936541 4498904 7873082 8997808 15746164 20807431 31492328 41614862 62984656 83229724 145652017 166459448 291304034 332918896 582608068 1165216136 2330432272