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2252280 = 23351372
BaseRepresentation
bin1000100101110111111000
311020102112210
420211313320
51034033110
6120135120
725100262
oct10456770
94212483
102252280
1112a9198
129074a0
1360b214
14428b32
152e7520
hex225df8

2252280 has 48 divisors (see below), whose sum is σ = 6806520. Its totient is φ = 596224.

The previous prime is 2252273. The next prime is 2252309. The reversal of 2252280 is 822522.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 16372 + ... + 16508.

22252280 is an apocalyptic number.

2252280 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 2252280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403260).

2252280 is an abundant number, since it is smaller than the sum of its proper divisors (4554240).

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

2252280 is a wasteful number, since it uses less digits than its factorization.

2252280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2252280 is about 1500.7598075642. The cubic root of 2252280 is about 131.0813161785.

The spelling of 2252280 in words is "two million, two hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 18769 37538 56307 75076 93845 112614 150152 187690 225228 281535 375380 450456 563070 750760 1126140 2252280