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2225431350 = 232528775639
BaseRepresentation
bin1000010010100101…
…0110001100110110
312202002112121220100
42010221112030312
514024202300400
61004454414530
7106101566022
oct20451261466
95662477810
102225431350
11a4221a56a
12521361446
13296096cac
141717bb382
15d0592100
hex84a56336

2225431350 has 72 divisors (see below), whose sum is σ = 5986871280. Its totient is φ = 592666560.

The previous prime is 2225431349. The next prime is 2225431357. The reversal of 2225431350 is 531345222.

It is a happy number.

2225431350 is a `hidden beast` number, since 2 + 225 + 431 + 3 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225431357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 391831 + ... + 397469.

It is an arithmetic number, because the mean of its divisors is an integer number (83150990).

Almost surely, 22225431350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993435640).

2225431350 is an abundant number, since it is smaller than the sum of its proper divisors (3761439930).

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

2225431350 is a wasteful number, since it uses less digits than its factorization.

2225431350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2225431350 is about 47174.4777395574. The cubic root of 2225431350 is about 1305.5837437771.

Adding to 2225431350 its reverse (531345222), we get a palindrome (2756776572).

The spelling of 2225431350 in words is "two billion, two hundred twenty-five million, four hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 877 1754 2631 4385 5262 5639 7893 8770 11278 13155 15786 16917 21925 26310 28195 33834 39465 43850 50751 56390 65775 78930 84585 101502 131550 140975 169170 197325 253755 281950 394650 422925 507510 845850 1268775 2537550 4945403 9890806 14836209 24727015 29672418 44508627 49454030 74181045 89017254 123635075 148362090 222543135 247270150 370905225 445086270 741810450 1112715675 2225431350