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2255000 = 23541141
BaseRepresentation
bin1000100110100010011000
311020120021112
420212202120
51034130000
6120155452
725111226
oct10464230
94216245
102255000
111300240
12908b88
1360c527
14429b16
152e8235
hex226898

2255000 has 80 divisors (see below), whose sum is σ = 5904360. Its totient is φ = 800000.

The previous prime is 2254969. The next prime is 2255003. The reversal of 2255000 is 5522.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54980 + ... + 55020.

22255000 is an apocalyptic number.

2255000 is a gapful number since it is divisible by the number (20) 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 2255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952180).

2255000 is an abundant number, since it is smaller than the sum of its proper divisors (3649360).

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

2255000 is a wasteful number, since it uses less digits than its factorization.

2255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2255000 is about 1501.6657417681. The cubic root of 2255000 is about 131.1340623955.

It can be divided in two parts, 225 and 5000, that added together give a palindrome (5225).

The spelling of 2255000 in words is "two million, two hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 625 820 902 1000 1025 1100 1250 1375 1640 1804 2050 2200 2255 2500 2750 3608 4100 4510 5000 5125 5500 6875 8200 9020 10250 11000 11275 13750 18040 20500 22550 25625 27500 41000 45100 51250 55000 56375 90200 102500 112750 205000 225500 281875 451000 563750 1127500 2255000