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1225765000 = 2354673659
BaseRepresentation
bin100100100001111…
…1011000010001000
310011102111022110201
41021003323002020
510002243440000
6321344221544
742242554615
oct11103730210
93142438421
101225765000
11579a04429
122a260a8b4
13166c45945
14b8b1950c
157292996a
hex490fb088

1225765000 has 80 divisors (see below), whose sum is σ = 2915629200. Its totient is φ = 482856000.

The previous prime is 1225764989. The next prime is 1225765001. The reversal of 1225765000 is 5675221.

It is a self number, because there is not a number n which added to its sum of digits gives 1225765000.

It is not an unprimeable number, because it can be changed into a prime (1225765001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333171 + ... + 336829.

It is an arithmetic number, because the mean of its divisors is an integer number (36445365).

Almost surely, 21225765000 is an apocalyptic number.

1225765000 is a gapful number since it is divisible by the number (10) 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 1225765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457814600).

1225765000 is an abundant number, since it is smaller than the sum of its proper divisors (1689864200).

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

1225765000 is an equidigital number, since it uses as much as digits as its factorization.

1225765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1225765000 is about 35010.9268657658. The cubic root of 1225765000 is about 1070.2101663043.

The spelling of 1225765000 in words is "one billion, two hundred twenty-five million, seven hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 625 670 1000 1250 1340 1675 2500 2680 3350 3659 5000 6700 7318 8375 13400 14636 16750 18295 29272 33500 36590 41875 67000 73180 83750 91475 146360 167500 182950 245153 335000 365900 457375 490306 731800 914750 980612 1225765 1829500 1961224 2286875 2451530 3659000 4573750 4903060 6128825 9147500 9806120 12257650 18295000 24515300 30644125 49030600 61288250 122576500 153220625 245153000 306441250 612882500 1225765000