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2252765025 = 325272276301
BaseRepresentation
bin1000011001000110…
…0111011101100001
312210222222022122200
42012101213131201
514103201440100
61011312323413
7106553121030
oct20621473541
95728868580
102252765025
11a56699785
1252a543569
1329b947474
14175294717
15d2b90e00
hex86467761

2252765025 has 72 divisors (see below), whose sum is σ = 4632423744. Its totient is φ = 1025136000.

The previous prime is 2252765003. The next prime is 2252765029. The reversal of 2252765025 is 5205672522.

It is a happy number.

It is not a de Polignac number, because 2252765025 - 25 = 2252764993 is a prime.

It is a super-3 number, since 3×22527650253 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2252765029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354375 + ... + 360675.

Almost surely, 22252765025 is an apocalyptic number.

2252765025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252765025 is an abundant number, since it is smaller than the sum of its proper divisors (2379658719).

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

2252765025 is a wasteful number, since it uses less digits than its factorization.

2252765025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2252765025 is about 47463.3018762918. The cubic root of 2252765025 is about 1310.9072488915.

The spelling of 2252765025 in words is "two billion, two hundred fifty-two million, seven hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 227 315 525 681 1135 1575 1589 2043 3405 4767 5675 6301 7945 10215 14301 17025 18903 23835 31505 39725 44107 51075 56709 71505 94515 119175 132321 157525 220535 283545 357525 396963 472575 661605 1102675 1417725 1430327 1984815 3308025 4290981 7151635 9924075 10012289 12872943 21454905 30036867 35758175 50061445 64364715 90110601 107274525 150184335 250307225 321823575 450553005 750921675 2252765025