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2230733825 = 52891002577
BaseRepresentation
bin1000010011110110…
…0100110000000001
312202110112000112022
42010331210300001
514032031440300
61005204211225
7106164632105
oct20475446001
95673460468
102230733825
11a45211381
12523099b15
13297202658
1417239b905
15d0c8d285
hex84f64c01

2230733825 has 12 divisors (see below), whose sum is σ = 2797192620. Its totient is φ = 1764533760.

The previous prime is 2230733819. The next prime is 2230733831. The reversal of 2230733825 is 5283370322.

It is an interprime number because it is at equal distance from previous prime (2230733819) and next prime (2230733831).

It can be written as a sum of positive squares in 6 ways, for example, as 8271376 + 2222462449 = 2876^2 + 47143^2 .

It is not a de Polignac number, because 2230733825 - 212 = 2230729729 is a prime.

It is a super-3 number, since 3×22307338253 (a number of 29 digits) contains 333 as substring.

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, 499064 + ... + 503513.

It is an arithmetic number, because the mean of its divisors is an integer number (233099385).

Almost surely, 22230733825 is an apocalyptic number.

2230733825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2230733825 is a deficient number, since it is larger than the sum of its proper divisors (566458795).

2230733825 is a wasteful number, since it uses less digits than its factorization.

2230733825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002676 (or 1002671 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2230733825 is about 47230.6449775990. The cubic root of 2230733825 is about 1306.6198476546.

The spelling of 2230733825 in words is "two billion, two hundred thirty million, seven hundred thirty-three thousand, eight hundred twenty-five".

Divisors: 1 5 25 89 445 2225 1002577 5012885 25064425 89229353 446146765 2230733825