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1225412425350 = 232524219676689
BaseRepresentation
bin10001110101010000010…
…001011011011010000110
311100011000002200002000100
4101311100101123122012
5130034121040102400
62334540253024530
7154350601516461
oct21652021333206
94304002602010
101225412425350
11432770405413
121795b0185146
138b72c3c3299
144344b58c2d8
1521d20bc8100
hex11d5045b686

1225412425350 has 144 divisors (see below), whose sum is σ = 3304001432160. Its totient is φ = 325614643200.

The previous prime is 1225412425337. The next prime is 1225412425351. The reversal of 1225412425350 is 535242145221.

1225412425350 is a `hidden beast` number, since 1 + 2 + 25 + 41 + 242 + 5 + 350 = 666.

It is a super-2 number, since 2×12254124253502 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225412425351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183194806 + ... + 183201494.

It is an arithmetic number, because the mean of its divisors is an integer number (22944454390).

Almost surely, 21225412425350 is an apocalyptic number.

1225412425350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225412425350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652000716080).

1225412425350 is an abundant number, since it is smaller than the sum of its proper divisors (2078589006810).

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

1225412425350 is a wasteful number, since it uses less digits than its factorization.

1225412425350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1225412425350 in words is "one trillion, two hundred twenty-five billion, four hundred twelve million, four hundred twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 421 450 842 967 1263 1934 2105 2526 2901 3789 4210 4835 5802 6315 6689 7578 8703 9670 10525 12630 13378 14505 17406 18945 20067 21050 24175 29010 31575 33445 37890 40134 43515 48350 60201 63150 66890 72525 87030 94725 100335 120402 145050 167225 189450 200670 217575 301005 334450 407107 435150 501675 602010 814214 1003350 1221321 1505025 2035535 2442642 2816069 3010050 3663963 4071070 5632138 6106605 6468263 7327926 8448207 10177675 12213210 12936526 14080345 16896414 18319815 19404789 20355350 25344621 28160690 30533025 32341315 36639630 38809578 42241035 50689242 58214367 61066050 64682630 70401725 84482070 91599075 97023945 116428734 126723105 140803450 161706575 183198150 194047890 211205175 253446210 291071835 323413150 422410350 485119725 582143670 633615525 970239450 1267231050 1455359175 2723138723 2910718350 5446277446 8169416169 13615693615 16338832338 24508248507 27231387230 40847080845 49016497014 68078468075 81694161690 122541242535 136156936150 204235404225 245082485070 408470808450 612706212675 1225412425350