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2239104 = 2737317
BaseRepresentation
bin1000100010101010000000
311012202110210
420202222000
51033122404
6115554120
725014000
oct10425200
94182423
102239104
11129a2aa
128bb940
1360521a
14424000
152e3689
hex222a80

2239104 has 128 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 602112.

The previous prime is 2239103. The next prime is 2239123. The reversal of 2239104 is 4019322.

2239104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2239103) 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, 131704 + ... + 131720.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

22239104 is an apocalyptic number.

2239104 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 2239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2239104 is an abundant number, since it is smaller than the sum of its proper divisors (5104896).

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

2239104 is an equidigital number, since it uses as much as digits as its factorization.

2239104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2239104 is about 1496.3635921794. The cubic root of 2239104 is about 130.8252043939.

The spelling of 2239104 in words is "two million, two hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 84 96 98 102 112 119 128 136 147 168 192 196 204 224 238 272 294 336 343 357 384 392 408 448 476 544 588 672 686 714 784 816 833 896 952 1029 1088 1176 1344 1372 1428 1568 1632 1666 1904 2058 2176 2352 2499 2688 2744 2856 3136 3264 3332 3808 4116 4704 4998 5488 5712 5831 6272 6528 6664 7616 8232 9408 9996 10976 11424 11662 13328 15232 16464 17493 18816 19992 21952 22848 23324 26656 32928 34986 39984 43904 45696 46648 53312 65856 69972 79968 93296 106624 131712 139944 159936 186592 279888 319872 373184 559776 746368 1119552 2239104