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2325320352 = 25333772739
BaseRepresentation
bin1000101010011001…
…1001001010100000
320000001111111212000
42022212121022200
514230240222402
61022423404000
7111423616425
oct21246311240
96001444760
102325320352
11a93645663
1254a8b3600
132b099c104
14180b7dd4c
15d9223c1c
hex8a9992a0

2325320352 has 96 divisors (see below), whose sum is σ = 6965582400. Its totient is φ = 754147584.

The previous prime is 2325320321. The next prime is 2325320407. The reversal of 2325320352 is 2530235232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23253203522 = 10814229478850807808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402 + ... + 68337.

It is an arithmetic number, because the mean of its divisors is an integer number (72558150).

Almost surely, 22325320352 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 2325320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482791200).

2325320352 is an abundant number, since it is smaller than the sum of its proper divisors (4640262048).

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

2325320352 is a wasteful number, since it uses less digits than its factorization.

2325320352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72795 (or 72781 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 2325320352 is about 48221.5755860382. The cubic root of 2325320352 is about 1324.8323702971.

Adding to 2325320352 its reverse (2530235232), we get a palindrome (4855555584).

The spelling of 2325320352 in words is "two billion, three hundred twenty-five million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 72739 145478 218217 290956 436434 581912 654651 872868 1163824 1309302 1745736 1963953 2327648 2618604 2691343 3491472 3927906 5237208 5382686 6982944 7855812 8074029 10474416 10765372 15711624 16148058 20948832 21530744 24222087 31423248 32296116 43061488 48444174 62846496 64592232 72666261 86122976 96888348 129184464 145332522 193776696 258368928 290665044 387553392 581330088 775106784 1162660176 2325320352