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2193408 = 21132717
BaseRepresentation
bin1000010111100000000000
311010102210100
420113200000
51030142113
6115002400
724433530
oct10274000
94112710
102193408
111268a38
12899400
135ba499
144114c0
152d4d73
hex217800

2193408 has 144 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 589824.

The previous prime is 2193383. The next prime is 2193413. The reversal of 2193408 is 8043912.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21934082 = 9622077308928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129016 + ... + 129032.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

22193408 is an apocalyptic number.

2193408 is a gapful number since it is divisible by the number (28) 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 2193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2193408 is an abundant number, since it is smaller than the sum of its proper divisors (5472432).

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

2193408 is a wasteful number, since it uses less digits than its factorization.

2193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2193408 is about 1481.0158675720. The cubic root of 2193408 is about 129.9291132275.

It can be divided in two parts, 2193 and 408, that added together give a square (2601 = 512).

The spelling of 2193408 in words is "two million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 128 136 144 153 168 192 204 224 238 252 256 272 288 306 336 357 384 408 448 476 504 512 544 576 612 672 714 768 816 896 952 1008 1024 1071 1088 1152 1224 1344 1428 1536 1632 1792 1904 2016 2048 2142 2176 2304 2448 2688 2856 3072 3264 3584 3808 4032 4284 4352 4608 4896 5376 5712 6144 6528 7168 7616 8064 8568 8704 9216 9792 10752 11424 13056 14336 15232 16128 17136 17408 18432 19584 21504 22848 26112 30464 32256 34272 34816 39168 43008 45696 52224 60928 64512 68544 78336 91392 104448 121856 129024 137088 156672 182784 243712 274176 313344 365568 548352 731136 1096704 2193408