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2239664688 = 243331414079
BaseRepresentation
bin1000010101111110…
…1001001000110000
312210002022202101000
42011133221020300
514041323232223
61010123442000
7106333556442
oct20537511060
95702282330
102239664688
11a4a261258
12526086300
1329900b6a1
14173644492
15d1954543
hex857e9230

2239664688 has 160 divisors (see below), whose sum is σ = 6799564800. Its totient is φ = 704678400.

The previous prime is 2239664599. The next prime is 2239664689. The reversal of 2239664688 is 8864669322.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (2239664689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547033 + ... + 551111.

It is an arithmetic number, because the mean of its divisors is an integer number (42497280).

Almost surely, 22239664688 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 2239664688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399782400).

2239664688 is an abundant number, since it is smaller than the sum of its proper divisors (4559900112).

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

2239664688 is a wasteful number, since it uses less digits than its factorization.

2239664688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4156 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2239664688 is about 47325.0957526765. The cubic root of 2239664688 is about 1308.3612334492.

The spelling of 2239664688 in words is "two billion, two hundred thirty-nine million, six hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 48 54 62 72 82 93 108 123 124 144 164 186 216 246 248 279 328 369 372 432 492 496 558 656 738 744 837 984 1107 1116 1271 1476 1488 1674 1968 2214 2232 2542 2952 3348 3813 4079 4428 4464 5084 5904 6696 7626 8158 8856 10168 11439 12237 13392 15252 16316 17712 20336 22878 24474 30504 32632 34317 36711 45756 48948 61008 65264 68634 73422 91512 97896 110133 126449 137268 146844 167239 183024 195792 220266 252898 274536 293688 334478 379347 440532 501717 505796 549072 587376 668956 758694 881064 1003434 1011592 1138041 1337912 1505151 1517388 1762128 2006868 2023184 2276082 2675824 3010302 3034776 3414123 4013736 4515453 4552164 5184409 6020604 6069552 6828246 8027472 9030906 9104328 10368818 12041208 13656492 15553227 18061812 18208656 20737636 24082416 27312984 31106454 36123624 41475272 46659681 54625968 62212908 72247248 82950544 93319362 124425816 139979043 186638724 248851632 279958086 373277448 559916172 746554896 1119832344 2239664688