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722364006400 = 22252832
BaseRepresentation
bin10101000001100000100…
…00000000000000000000
32120001112210022122010021
422200300100000000000
543313400141201100
61311503251343224
7103121565513241
oct12406020000000
92501483278107
10722364006400
11259397716713
12b7bba2b1b14
135317083a41a
1426d6955acc8
1513bcc639a1a
hexa830400000

722364006400 has 207 divisors, whose sum is σ = 1813306454941. Its totient is φ = 285464330240.

The previous prime is 722364006379. The next prime is 722364006421. The reversal of 722364006400 is 4600463227.

The square root of 722364006400 is 849920.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (722364006379) and next prime (722364006421).

It can be written as a sum of positive squares in only one way, i.e., 260051042304 + 462312964096 = 509952^2 + 679936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8703180759 + ... + 8703180841.

Almost surely, 2722364006400 is an apocalyptic number.

722364006400 is the 849920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722364006400

722364006400 is an abundant number, since it is smaller than the sum of its proper divisors (1090942448541).

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

722364006400 is an frugal number, since it uses more digits than its factorization.

722364006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 722364006400 its reverse (4600463227), we get a palindrome (726964469627).

The spelling of 722364006400 in words is "seven hundred twenty-two billion, three hundred sixty-four million, six thousand, four hundred".