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2245466520 = 23325112919553
BaseRepresentation
bin1000010111010111…
…0001100110011000
312210111020111222200
42011311301212120
514044314412040
61010452050200
7106434102423
oct20565614630
95714214880
102245466520
11a52564260
12528003960
1329a29041b
141743149ba
15d21ed630
hex85d71998

2245466520 has 192 divisors, whose sum is σ = 8236144800. Its totient is φ = 525557760.

The previous prime is 2245466513. The next prime is 2245466527. The reversal of 2245466520 is 256645422.

2245466520 is a `hidden beast` number, since 2 + 24 + 54 + 66 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (2245466513) and next prime (2245466527).

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 (2245466527) 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, 105064 + ... + 124616.

Almost surely, 22245466520 is an apocalyptic number.

2245466520 is a gapful number since it is divisible by the number (20) 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 2245466520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118072400).

2245466520 is an abundant number, since it is smaller than the sum of its proper divisors (5990678280).

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

2245466520 is a wasteful number, since it uses less digits than its factorization.

2245466520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610 (or 19603 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2245466520 is about 47386.3537318498. The cubic root of 2245466520 is about 1309.4900254534.

The spelling of 2245466520 in words is "two billion, two hundred forty-five million, four hundred sixty-six thousand, five hundred twenty".