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2245653432 = 23321137197389
BaseRepresentation
bin1000010111011001…
…1111001110111000
312210111121000101100
42011312133032320
514044341402212
61010500051400
7106435511361
oct20566371670
95714530340
102245653432
11a52681730
12528093b60
1329a327519
14174362b68
15d2238bdc
hex85d9f3b8

2245653432 has 192 divisors, whose sum is σ = 6866402400. Its totient is φ = 657054720.

The previous prime is 2245653409. The next prime is 2245653433. The reversal of 2245653432 is 2343565422.

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 (2245653433) 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, 5772694 + ... + 5773082.

Almost surely, 22245653432 is an apocalyptic number.

2245653432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245653432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433201200).

2245653432 is an abundant number, since it is smaller than the sum of its proper divisors (4620748968).

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

2245653432 is a wasteful number, since it uses less digits than its factorization.

2245653432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2245653432 is about 47388.3259041718. The cubic root of 2245653432 is about 1309.5263583055.

The spelling of 2245653432 in words is "two billion, two hundred forty-five million, six hundred fifty-three thousand, four hundred thirty-two".