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2250255540 = 22351371179227
BaseRepresentation
bin1000011000100000…
…0010110010110100
312210211020211021210
42012020002302310
514102031134130
61011142441420
7106522566531
oct20610026264
95724224253
102250255540
11a55235325
12529733270
1329b279170
14174bddd88
15d28475b0
hex86202cb4

2250255540 has 192 divisors, whose sum is σ = 6949877760. Its totient is φ = 540664320.

The previous prime is 2250255509. The next prime is 2250255569. The reversal of 2250255540 is 455520522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2250255498 and 2250255507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9912907 + ... + 9913133.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 22250255540 is an apocalyptic number.

2250255540 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 2250255540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).

2250255540 is an abundant number, since it is smaller than the sum of its proper divisors (4699622220).

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

2250255540 is a wasteful number, since it uses less digits than its factorization.

2250255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 2250255540 is about 47436.8584541599. The cubic root of 2250255540 is about 1310.4203029492.

The spelling of 2250255540 in words is "two billion, two hundred fifty million, two hundred fifty-five thousand, five hundred forty".