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2255064 = 233731433
BaseRepresentation
bin1000100110100011011000
311020120100220
420212203120
51034130224
6120200040
725111350
oct10464330
94216326
102255064
111300299
12909020
1360c576
14429b60
152e8279
hex2268d8

2255064 has 64 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 622080.

The previous prime is 2255063. The next prime is 2255083. The reversal of 2255064 is 4605522.

2255064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255063) 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, 4992 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22255064 is an apocalyptic number.

2255064 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 2255064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2255064 is an abundant number, since it is smaller than the sum of its proper divisors (4411176).

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

2255064 is a wasteful number, since it uses less digits than its factorization.

2255064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2255064 is about 1501.6870512860. The cubic root of 2255064 is about 131.1353029721.

2255064 divided by its sum of digits (24) gives a triangular number (93961 = T433).

The spelling of 2255064 in words is "two million, two hundred fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 433 434 651 744 866 868 1299 1302 1732 1736 2598 2604 3031 3464 5196 5208 6062 9093 10392 12124 13423 18186 24248 26846 36372 40269 53692 72744 80538 93961 107384 161076 187922 281883 322152 375844 563766 751688 1127532 2255064