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2298816 = 263213307
BaseRepresentation
bin1000110001001111000000
311022210101100
420301033000
51042030231
6121134400
725353042
oct10611700
94283340
102298816
111330153
1292a400
13626460
1443ba92
153061e6
hex2313c0

2298816 has 84 divisors (see below), whose sum is σ = 7119112. Its totient is φ = 705024.

The previous prime is 2298787. The next prime is 2298833. The reversal of 2298816 is 6188922.

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 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, 7335 + ... + 7641.

22298816 is an apocalyptic number.

2298816 is a gapful number since it is divisible by the number (26) 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 2298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559556).

2298816 is an abundant number, since it is smaller than the sum of its proper divisors (4820296).

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

2298816 is a wasteful number, since it uses less digits than its factorization.

2298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2298816 is about 1516.1846853204. The cubic root of 2298816 is about 131.9779577519.

It can be divided in two parts, 229 and 8816, that added together give a triangular number (9045 = T134).

The spelling of 2298816 in words is "two million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 307 312 416 468 576 614 624 832 921 936 1228 1248 1842 1872 2456 2496 2763 3684 3744 3991 4912 5526 7368 7488 7982 9824 11052 11973 14736 15964 19648 22104 23946 29472 31928 35919 44208 47892 58944 63856 71838 88416 95784 127712 143676 176832 191568 255424 287352 383136 574704 766272 1149408 2298816