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2304213012 = 22323115713151
BaseRepresentation
bin1000100101010111…
…1000000000010100
312221120210011000200
42021111320000110
514204334304022
61020351140500
7111046326123
oct21125700024
95846704020
102304213012
11a82739382
12543814730
132a94bb96a
1417c047aba
15d7454bac
hex89578014

2304213012 has 72 divisors (see below), whose sum is σ = 6051182592. Its totient is φ = 738504000.

The previous prime is 2304212971. The next prime is 2304213017. The reversal of 2304213012 is 2103124032.

2304213012 is a `hidden beast` number, since 230 + 421 + 3 + 0 + 12 = 666.

It is a super-2 number, since 2×23042130122 = 10618795209340224288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304213017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168637 + ... + 181787.

Almost surely, 22304213012 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 2304213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025591296).

2304213012 is an abundant number, since it is smaller than the sum of its proper divisors (3746969580).

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

2304213012 is a wasteful number, since it uses less digits than its factorization.

2304213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2304213012 is about 48002.2188237169. The cubic root of 2304213012 is about 1320.8116014359.

Adding to 2304213012 its reverse (2103124032), we get a palindrome (4407337044).

The spelling of 2304213012 in words is "two billion, three hundred four million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 157 186 279 314 372 471 558 628 942 1116 1413 1884 2826 4867 5652 9734 13151 14601 19468 26302 29202 39453 43803 52604 58404 78906 87606 118359 157812 175212 236718 407681 473436 815362 1223043 1630724 2064707 2446086 3669129 4129414 4892172 6194121 7338258 8258828 12388242 14676516 18582363 24776484 37164726 64005917 74329452 128011834 192017751 256023668 384035502 576053253 768071004 1152106506 2304213012