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2255220240 = 2435713313331
BaseRepresentation
bin1000011001101011…
…1110111000010000
312211011121001120120
42012122332320100
514104314021430
61011441110240
7106613025060
oct20632767020
95734531516
102255220240
11a58016389
1252b328380
1329c2c6b60
141757333a0
15d2ec8610
hex866bee10

2255220240 has 320 divisors, whose sum is σ = 8884764672. Its totient is φ = 460339200.

The previous prime is 2255220229. The next prime is 2255220251. The reversal of 2255220240 is 420225522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2255220229) and next prime (2255220251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2255220240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675375 + ... + 678705.

Almost surely, 22255220240 is an apocalyptic number.

2255220240 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 2255220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442382336).

2255220240 is an abundant number, since it is smaller than the sum of its proper divisors (6629544432).

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

2255220240 is a wasteful number, since it uses less digits than its factorization.

2255220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2255220240 is about 47489.1591839653. The cubic root of 2255220240 is about 1311.3833143112.

Adding to 2255220240 its reverse (420225522), we get a palindrome (2675445762).

The spelling of 2255220240 in words is "two billion, two hundred fifty-five million, two hundred twenty thousand, two hundred forty".