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2304225040 = 245133171471
BaseRepresentation
bin1000100101010111…
…1010111100010000
312221120210202112011
42021111322330100
514204340200130
61020351312304
7111046406155
oct21125727420
95846722464
102304225040
11a82747417
1254381b694
132a94c4290
1417c04c22c
15d745852a
hex8957af10

2304225040 has 80 divisors (see below), whose sum is σ = 5955618816. Its totient is φ = 823334400.

The previous prime is 2304225037. The next prime is 2304225043. The reversal of 2304225040 is 405224032.

It is an interprime number because it is at equal distance from previous prime (2304225037) and next prime (2304225043).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2304225043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3496 + ... + 67975.

Almost surely, 22304225040 is an apocalyptic number.

2304225040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977809408).

2304225040 is an abundant number, since it is smaller than the sum of its proper divisors (3651393776).

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

2304225040 is a wasteful number, since it uses less digits than its factorization.

2304225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71528 (or 71522 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2304225040 is about 48002.3441094287. The cubic root of 2304225040 is about 1320.8138996456.

Adding to 2304225040 its reverse (405224032), we get a palindrome (2709449072).

The spelling of 2304225040 in words is "two billion, three hundred four million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 32240 71471 142942 285884 357355 571768 714710 929123 1143536 1429420 1858246 2215601 2858840 3716492 4431202 4645615 5717680 7432984 8862404 9291230 11078005 14865968 17724808 18582460 22156010 28802813 35449616 37164920 44312020 57605626 74329840 88624040 115211252 144014065 177248080 230422504 288028130 460845008 576056260 1152112520 2304225040