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225425102242400 = 25522241711256993
BaseRepresentation
bin110011010000010111011111…
…001001001000001001100000
31002120011102120222002002122122
4303100113133021020021200
5214021331102133224100
62115234510132323412
765324266115466014
oct6320273711101140
91076142528062578
10225425102242400
1165911281439515
1221348a8a773568
1398a265a728a78
143d948c158a544
151b0dc56bab985
hexcd05df248260

225425102242400 has 72 divisors (see below), whose sum is σ = 550321923564504. Its totient is φ = 90169566924800.

The previous prime is 225425102242399. The next prime is 225425102242409. The reversal of 225425102242400 is 4242201524522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225425102242409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178708304 + ... + 179965296.

It is an arithmetic number, because the mean of its divisors is an integer number (7643360049507).

Almost surely, 2225425102242400 is an apocalyptic number.

225425102242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225425102242400 is an abundant number, since it is smaller than the sum of its proper divisors (324896821322104).

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

225425102242400 is a wasteful number, since it uses less digits than its factorization.

225425102242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481184 (or 1481171 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 225425102242400 its reverse (4242201524522), we get a palindrome (229667303766922).

The spelling of 225425102242400 in words is "two hundred twenty-five trillion, four hundred twenty-five billion, one hundred two million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 224171 448342 896684 1120855 1256993 1793368 2241710 2513986 3586736 4483420 5027972 5604275 6284965 7173472 8966840 10055944 11208550 12569930 17933680 20111888 22417100 25139860 31424825 35867360 40223776 44834200 50279720 62849650 89668400 100559440 125699300 179336800 201118880 251398600 502797200 1005594400 281781377803 563562755606 1127125511212 1408906889015 2254251022424 2817813778030 4508502044848 5635627556060 7044534445075 9017004089696 11271255112120 14089068890150 22542510224240 28178137780300 45085020448480 56356275560600 112712551121200 225425102242400