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2252765660 = 2253129312401
BaseRepresentation
bin1000011001000110…
…0111100111011100
312210222222100112012
42012101213213130
514103202000120
61011312330352
7106553122625
oct20621474734
95728870465
102252765660
11a5669a202
1252a5439b8
1329b947842
14175294a4c
15d2b911c5
hex864679dc

2252765660 has 48 divisors (see below), whose sum is σ = 4900476672. Its totient is φ = 868992000.

The previous prime is 2252765653. The next prime is 2252765663. The reversal of 2252765660 is 665672522.

It is a happy number.

2252765660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252765663) 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, 175460 + ... + 187860.

It is an arithmetic number, because the mean of its divisors is an integer number (102093264).

Almost surely, 22252765660 is an apocalyptic number.

2252765660 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 2252765660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450238336).

2252765660 is an abundant number, since it is smaller than the sum of its proper divisors (2647711012).

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

2252765660 is a wasteful number, since it uses less digits than its factorization.

2252765660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 2252765660 is about 47463.3085656700. The cubic root of 2252765660 is about 1310.9073720625.

The spelling of 2252765660 in words is "two billion, two hundred fifty-two million, seven hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 293 310 586 620 1172 1465 2930 5860 9083 12401 18166 24802 36332 45415 49604 62005 90830 124010 181660 248020 384431 768862 1537724 1922155 3633493 3844310 7266986 7688620 14533972 18167465 36334930 72669860 112638283 225276566 450553132 563191415 1126382830 2252765660