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225350842020150 = 2352711293126938059
BaseRepresentation
bin110011001111010010010100…
…111000110111000100110110
31002112220022220122100221111210
4303033102110320313010312
5214014122011024121100
62115140425254142250
765316026641144230
oct6317222470670466
91075808818327453
10225350842020150
1165892834488410
1221336605051986
1398986547ab562
143d91078c43250
151b0bd5c572c50
hexccf494e37136

225350842020150 has 768 divisors, whose sum is σ = 744420011212800. Its totient is φ = 43731346176000.

The previous prime is 225350842020091. The next prime is 225350842020193. The reversal of 225350842020150 is 51020248053522.

It is a junction number, because it is equal to n+sod(n) for n = 225350842020099 and 225350842020108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27962626821 + ... + 27962634879.

It is an arithmetic number, because the mean of its divisors is an integer number (969296889600).

Almost surely, 2225350842020150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225350842020150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372210005606400).

225350842020150 is an abundant number, since it is smaller than the sum of its proper divisors (519069169192650).

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

225350842020150 is a wasteful number, since it uses less digits than its factorization.

225350842020150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 225350842020150 in words is "two hundred twenty-five trillion, three hundred fifty billion, eight hundred forty-two million, twenty thousand, one hundred fifty".