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2255568 = 24373137
BaseRepresentation
bin1000100110101011010000
311020121001120
420212223100
51034134233
6120202240
725113000
oct10465320
94217046
102255568
111300707
12909380
1360c873
1442a000
152e84b3
hex226ad0

2255568 has 80 divisors (see below), whose sum is σ = 6844800. Its totient is φ = 639744.

The previous prime is 2255567. The next prime is 2255569. The reversal of 2255568 is 8655522.

It is an interprime number because it is at equal distance from previous prime (2255567) and next prime (2255569).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255567) 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, 16396 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (85560).

22255568 is an apocalyptic number.

2255568 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 2255568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422400).

2255568 is an abundant number, since it is smaller than the sum of its proper divisors (4589232).

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

2255568 is a wasteful number, since it uses less digits than its factorization.

2255568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 2255568 is about 1501.8548531732. The cubic root of 2255568 is about 131.1450716926.

The spelling of 2255568 in words is "two million, two hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 137 147 168 196 274 294 336 343 392 411 548 588 686 784 822 959 1029 1096 1176 1372 1644 1918 2058 2192 2352 2744 2877 3288 3836 4116 5488 5754 6576 6713 7672 8232 11508 13426 15344 16464 20139 23016 26852 40278 46032 46991 53704 80556 93982 107408 140973 161112 187964 281946 322224 375928 563892 751856 1127784 2255568