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2334422664 = 233276175931
BaseRepresentation
bin1000101100100100…
…0111011010001000
320000200121221212200
42023021013122020
514240103011124
61023350440200
7111564156660
oct21311073210
96020557780
102334422664
11a987a2332
12551963060
132b28381b2
1418206d1a0
15d9e20bc9
hex8b247688

2334422664 has 96 divisors (see below), whose sum is σ = 7344143040. Its totient is φ = 656035200.

The previous prime is 2334422653. The next prime is 2334422719. The reversal of 2334422664 is 4662244332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7222 + ... + 68709.

It is an arithmetic number, because the mean of its divisors is an integer number (76501490).

Almost surely, 22334422664 is an apocalyptic number.

2334422664 is a gapful number since it is divisible by the number (24) 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 2334422664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672071520).

2334422664 is an abundant number, since it is smaller than the sum of its proper divisors (5009720376).

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

2334422664 is a wasteful number, since it uses less digits than its factorization.

2334422664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76011 (or 76004 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 2334422664 is about 48315.8634818835. The cubic root of 2334422664 is about 1326.5587757124.

Adding to 2334422664 its reverse (4662244332), we get a palindrome (6996666996).

The spelling of 2334422664 in words is "two billion, three hundred thirty-four million, four hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 10248 15372 30744 75931 151862 227793 303724 455586 531517 607448 683379 911172 1063034 1366758 1594551 1822344 2126068 2733516 3189102 4252136 4631791 4783653 5467032 6378204 9263582 9567306 12756408 13895373 18527164 19134612 27790746 32422537 37054328 38269224 41686119 55581492 64845074 83372238 97267611 111162984 129690148 166744476 194535222 259380296 291802833 333488952 389070444 583605666 778140888 1167211332 2334422664