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8225991450 = 2345217157761
BaseRepresentation
bin1111010100100111…
…01010101100011010
3210020021122122220000
413222103222230122
5113321323211300
63440131313430
7410563526235
oct75223525432
923207578800
108225991450
1135413a3146
121716a4b876
13a112ca981
145806d441c
1533228ac00
hex1ea4eab1a

8225991450 has 240 divisors, whose sum is σ = 24386691384. Its totient is φ = 2048716800.

The previous prime is 8225991427. The next prime is 8225991457. The reversal of 8225991450 is 541995228.

It is a happy number.

8225991450 is a `hidden beast` number, since 8 + 2 + 2 + 599 + 1 + 4 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 46416969 + 8179574481 = 6813^2 + 90441^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8225991396 and 8225991405.

It is not an unprimeable number, because it can be changed into a prime (8225991457) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10809070 + ... + 10809830.

Almost surely, 28225991450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8225991450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193345692).

8225991450 is an abundant number, since it is smaller than the sum of its proper divisors (16160699934).

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

8225991450 is a wasteful number, since it uses less digits than its factorization.

8225991450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8225991450 is about 90697.2516121630. The cubic root of 8225991450 is about 2018.6580187302.

The spelling of 8225991450 in words is "eight billion, two hundred twenty-five million, nine hundred ninety-one thousand, four hundred fifty".