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225225603316 = 2274377179113
BaseRepresentation
bin1101000111000001111…
…1011111100011110100
3210112100100201002212201
43101300133133203310
512142230223301231
6251244530154244
722162205020000
oct3216037374364
9715310632781
10225225603316
1187576a8834a
1237797722984
131831450567c
14ac883d3700
155cd2d5c161
hex34707df8f4

225225603316 has 240 divisors, whose sum is σ = 489240138240. Its totient is φ = 90612587520.

The previous prime is 225225603257. The next prime is 225225603319. The reversal of 225225603316 is 613306522522.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225225603319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1993146876 + ... + 1993146988.

It is an arithmetic number, because the mean of its divisors is an integer number (2038500576).

Almost surely, 2225225603316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225225603316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244620069120).

225225603316 is an abundant number, since it is smaller than the sum of its proper divisors (264014534924).

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

225225603316 is a wasteful number, since it uses less digits than its factorization.

225225603316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 225225603316 in words is "two hundred twenty-five billion, two hundred twenty-five million, six hundred three thousand, three hundred sixteen".