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2243352626640 = 243453371027289
BaseRepresentation
bin100000101001010010001…
…111001000010111010000
321221110111002202011010000
4200221102033020113100
5243223341233023030
64434325412210000
7321035240462406
oct40512217102720
97843432664100
102243352626640
1179544508a044
1230293a309900
131337163b2c38
147a8164d7476
153d54c434860
hex20a523c85d0

2243352626640 has 200 divisors, whose sum is σ = 7814623794120. Its totient is φ = 596451631104.

The previous prime is 2243352626611. The next prime is 2243352626657. The reversal of 2243352626640 is 466262533422.

2243352626640 is a `hidden beast` number, since 2 + 2 + 43 + 3 + 526 + 26 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62438015376 + 2180914611264 = 249876^2 + 1476792^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1670116 + ... + 2697404.

Almost surely, 22243352626640 is an apocalyptic number.

2243352626640 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 2243352626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907311897060).

2243352626640 is an abundant number, since it is smaller than the sum of its proper divisors (5571271167480).

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

2243352626640 is a wasteful number, since it uses less digits than its factorization.

2243352626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027651 (or 1027636 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 2243352626640 in words is "two trillion, two hundred forty-three billion, three hundred fifty-two million, six hundred twenty-six thousand, six hundred forty".