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2325222432 = 2532131932687
BaseRepresentation
bin1000101010011000…
…0001010000100000
320000001022112112100
42022212001100200
514230224104212
61022421330400
7111423031101
oct21246012040
96001275470
102325222432
11a93589035
1254a866a00
132b0966680
14180b563a8
15d9204bdc
hex8a981420

2325222432 has 144 divisors (see below), whose sum is σ = 7496012160. Its totient is φ = 677776896.

The previous prime is 2325222409. The next prime is 2325222433. The reversal of 2325222432 is 2342225232.

2325222432 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 222 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2325222396 and 2325222405.

It is not an unprimeable number, because it can be changed into a prime (2325222433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54793 + ... + 87479.

It is an arithmetic number, because the mean of its divisors is an integer number (52055640).

Almost surely, 22325222432 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 2325222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748006080).

2325222432 is an abundant number, since it is smaller than the sum of its proper divisors (5170789728).

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

2325222432 is a wasteful number, since it uses less digits than its factorization.

2325222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32735 (or 32724 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 2325222432 is about 48220.5602621952. The cubic root of 2325222432 is about 1324.8137736613.

Adding to 2325222432 its reverse (2342225232), we get a palindrome (4667447664).

The spelling of 2325222432 in words is "two billion, three hundred twenty-five million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 32687 35568 65374 71136 98061 130748 196122 261496 294183 392244 424931 522992 588366 621053 784488 849862 1045984 1176732 1242106 1274793 1568976 1699724 1863159 2353464 2484212 2549586 3137952 3399448 3726318 3824379 4706928 4968424 5099172 5589477 6798896 7452636 7648758 8073689 9413856 9936848 10198344 11178954 13597792 14905272 15297516 16147378 19873696 20396688 22357908 24221067 29810544 30595032 32294756 40793376 44715816 48442134 59621088 61190064 64589512 72663201 89431632 96884268 122380128 129179024 145326402 178863264 193768536 258358048 290652804 387537072 581305608 775074144 1162611216 2325222432