Search a number
-
+
2322651136 = 21113233793
BaseRepresentation
bin1000101001110000…
…1101100000000000
312222212110220101011
42022130031200000
514224044314021
61022250250304
7111362131441
oct21234154000
95885426334
102322651136
11a920921a3
12549a26994
132b02761b0
141806872c8
15d8d97de1
hex8a70d800

2322651136 has 96 divisors (see below), whose sum is σ = 5220240480. Its totient is φ = 1025114112.

The previous prime is 2322651127. The next prime is 2322651137. The reversal of 2322651136 is 6311562232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2322651098 and 2322651107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322651137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610456 + ... + 614248.

It is an arithmetic number, because the mean of its divisors is an integer number (54377505).

Almost surely, 22322651136 is an apocalyptic number.

2322651136 is a gapful number since it is divisible by the number (26) 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 2322651136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610120240).

2322651136 is an abundant number, since it is smaller than the sum of its proper divisors (2897589344).

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

2322651136 is a wasteful number, since it uses less digits than its factorization.

2322651136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3831 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 2322651136 is about 48193.8910651547. The cubic root of 2322651136 is about 1324.3252548361.

The spelling of 2322651136 in words is "two billion, three hundred twenty-two million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2048 2392 2944 3328 3793 4784 5888 6656 7586 9568 11776 13312 15172 19136 23552 26624 30344 38272 47104 49309 60688 76544 87239 98618 121376 153088 174478 197236 242752 306176 348956 394472 485504 612352 697912 788944 971008 1134107 1395824 1577888 1942016 2268214 2791648 3155776 3884032 4536428 5583296 6311552 7768064 9072856 11166592 12623104 18145712 22333184 25246208 36291424 44666368 50492416 72582848 89332736 100984832 145165696 178665472 290331392 580662784 1161325568 2322651136