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2253620 = 225281401
BaseRepresentation
bin1000100110001100110100
311020111101102
420212030310
51034103440
6120145232
725104215
oct10461464
94214342
102253620
1112aa1a6
12908218
1360ba05
1442940c
152e7b15
hex226334

2253620 has 24 divisors (see below), whose sum is σ = 4761288. Its totient is φ = 896000.

The previous prime is 2253617. The next prime is 2253637. The reversal of 2253620 is 263522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 1196836 = 1028^2 + 1094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2253592 and 2253601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5420 + ... + 5820.

It is an arithmetic number, because the mean of its divisors is an integer number (198387).

22253620 is an apocalyptic number.

2253620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253620 is an abundant number, since it is smaller than the sum of its proper divisors (2507668).

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

2253620 is a wasteful number, since it uses less digits than its factorization.

2253620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2253620 is about 1501.2061817086. The cubic root of 2253620 is about 131.1073067512.

The spelling of 2253620 in words is "two million, two hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 281 401 562 802 1124 1405 1604 2005 2810 4010 5620 8020 112681 225362 450724 563405 1126810 2253620