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225245020 = 2257111311251
BaseRepresentation
bin11010110110011…
…11011101011100
3120200211122002011
431123033131130
5430130320040
634203441004
75403360010
oct1533173534
9520748064
10225245020
11106165a10
1263526164
1337885ba0
1421cb4540
1514b943ea
hexd6cf75c

225245020 has 96 divisors (see below), whose sum is σ = 635152896. Its totient is φ = 64800000.

The previous prime is 225244993. The next prime is 225245029. The reversal of 225245020 is 20542522.

It is a happy number.

225245020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 225244982 and 225245000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225245029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14395 + ... + 25645.

It is an arithmetic number, because the mean of its divisors is an integer number (6616176).

Almost surely, 2225245020 is an apocalyptic number.

225245020 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 225245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317576448).

225245020 is an abundant number, since it is smaller than the sum of its proper divisors (409907876).

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

225245020 is a wasteful number, since it uses less digits than its factorization.

225245020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225245020 is about 15008.1651110321. The cubic root of 225245020 is about 608.4408988916.

Adding to 225245020 its reverse (20542522), we get a palindrome (245787542).

The spelling of 225245020 in words is "two hundred twenty-five million, two hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 11251 20020 22502 45004 56255 78757 112510 123761 146263 157514 225020 247522 292526 315028 393785 495044 585052 618805 731315 787570 866327 1023841 1237610 1462630 1575140 1608893 1732654 2047682 2475220 2925260 3217786 3465308 4095364 4331635 5119205 6435572 8044465 8663270 10238410 11262251 16088930 17326540 20476820 22524502 32177860 45049004 56311255 112622510 225245020