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2299968 = 2633113
BaseRepresentation
bin1000110001100001000000
311022211222000
420301201000
51042044333
6121144000
725356306
oct10614100
94284860
102299968
111331000
1292b000
13626b38
1443c276
15306713
hex231840

2299968 has 112 divisors (see below), whose sum is σ = 7437120. Its totient is φ = 696960.

The previous prime is 2299963. The next prime is 2300003. The reversal of 2299968 is 8699922.

The cubic root of 2299968 is 132.

It is a perfect power (a cube), and thus also a powerful number.

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

Its product of digits (139968) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (2299963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209083 + ... + 209093.

22299968 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 2299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718560).

2299968 is an abundant number, since it is smaller than the sum of its proper divisors (5137152).

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

2299968 is an equidigital number, since it uses as much as digits as its factorization.

2299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 2299968 is about 1516.5645386860.

The spelling of 2299968 in words is "two million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 132 144 176 192 198 216 242 264 288 297 352 363 396 432 484 528 576 594 704 726 792 864 968 1056 1089 1188 1331 1452 1584 1728 1936 2112 2178 2376 2662 2904 3168 3267 3872 3993 4356 4752 5324 5808 6336 6534 7744 7986 8712 9504 10648 11616 11979 13068 15972 17424 19008 21296 23232 23958 26136 31944 34848 35937 42592 47916 52272 63888 69696 71874 85184 95832 104544 127776 143748 191664 209088 255552 287496 383328 574992 766656 1149984 2299968