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2255700 = 2235273103
BaseRepresentation
bin1000100110101101010100
311020121020110
420212231110
51034140300
6120203020
725113246
oct10465524
94217213
102255700
111300817
12909470
1360c945
1442a096
152e8550
hex226b54

2255700 has 72 divisors (see below), whose sum is σ = 6680128. Its totient is φ = 587520.

The previous prime is 2255681. The next prime is 2255717. The reversal of 2255700 is 75522.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21849 + ... + 21951.

22255700 is an apocalyptic number.

2255700 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 2255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340064).

2255700 is an abundant number, since it is smaller than the sum of its proper divisors (4424428).

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

2255700 is a wasteful number, since it uses less digits than its factorization.

2255700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2255700 is about 1501.8987981885. The cubic root of 2255700 is about 131.1476299265.

The spelling of 2255700 in words is "two million, two hundred fifty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 103 146 150 206 219 292 300 309 365 412 438 515 618 730 876 1030 1095 1236 1460 1545 1825 2060 2190 2575 3090 3650 4380 5150 5475 6180 7300 7519 7725 10300 10950 15038 15450 21900 22557 30076 30900 37595 45114 75190 90228 112785 150380 187975 225570 375950 451140 563925 751900 1127850 2255700