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2252417472 = 2632192947151
BaseRepresentation
bin1000011001000001…
…0010100111000000
312210222022122220100
42012100102213000
514103104324342
61011301042400
7106550142534
oct20620224700
95728278810
102252417472
11a56481648
1252a3b6400
1329b855206
14175203bc4
15d2b22e4c
hex864129c0

2252417472 has 336 divisors, whose sum is σ = 7227417600. Its totient is φ = 667699200.

The previous prime is 2252417471. The next prime is 2252417477. The reversal of 2252417472 is 2747142522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252417471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14916597 + ... + 14916747.

Almost surely, 22252417472 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 2252417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613708800).

2252417472 is an abundant number, since it is smaller than the sum of its proper divisors (4975000128).

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

2252417472 is a wasteful number, since it uses less digits than its factorization.

2252417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 2252417472 is about 47459.6404537582. The cubic root of 2252417472 is about 1310.8398305302.

Adding to 2252417472 its reverse (2747142522), we get a palindrome (4999559994).

The spelling of 2252417472 in words is "two billion, two hundred fifty-two million, four hundred seventeen thousand, four hundred seventy-two".