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4322250720 = 25355195851
BaseRepresentation
bin1000000011010000…
…00100111111100000
3102011020002002100000
410001220010333200
532322444010340
61552520500000
7212052345024
oct40150047740
912136062300
104322250720
111918885a37
12a0761a600
1353b610208
142d007a384
151a46cbd30
hex101a04fe0

4322250720 has 288 divisors, whose sum is σ = 16103767680. Its totient is φ = 1091750400.

The previous prime is 4322250679. The next prime is 4322250743. The reversal of 4322250720 is 270522234.

4322250720 is a `hidden beast` number, since 432 + 225 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 735795 + ... + 741645.

It is an arithmetic number, because the mean of its divisors is an integer number (55915860).

Almost surely, 24322250720 is an apocalyptic number.

4322250720 is a gapful number since it is divisible by the number (40) 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 4322250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051883840).

4322250720 is an abundant number, since it is smaller than the sum of its proper divisors (11781516960).

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

4322250720 is a wasteful number, since it uses less digits than its factorization.

4322250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4322250720 is about 65743.8264782329. The cubic root of 4322250720 is about 1628.9333631665.

Adding to 4322250720 its reverse (270522234), we get a palindrome (4592772954).

The spelling of 4322250720 in words is "four billion, three hundred twenty-two million, two hundred fifty thousand, seven hundred twenty".