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2245535424 = 263211329101
BaseRepresentation
bin1000010111011000…
…0010011011000000
312210111101000111200
42011312002123000
514044324113144
61010453341200
7106434510336
oct20566023300
95714330450
102245535424
11a52601000
12528037800
1329a2b58b2
14174331b56
15d2213c69
hex85d826c0

2245535424 has 336 divisors, whose sum is σ = 7396215840. Its totient is φ = 650496000.

The previous prime is 2245535401. The next prime is 2245535447. The reversal of 2245535424 is 4245355422.

2245535424 is a `hidden beast` number, since 22 + 45 + 53 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2245535401) and next prime (2245535447).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22232974 + ... + 22233074.

Almost surely, 22245535424 is an apocalyptic number.

2245535424 is a gapful number since it is divisible by the number (24) 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 2245535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698107920).

2245535424 is an abundant number, since it is smaller than the sum of its proper divisors (5150680416).

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

2245535424 is a wasteful number, since it uses less digits than its factorization.

2245535424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 2245535424 is about 47387.0807710287. The cubic root of 2245535424 is about 1309.5034195784.

The spelling of 2245535424 in words is "two billion, two hundred forty-five million, five hundred thirty-five thousand, four hundred twenty-four".