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2225015540 = 2251133730011
BaseRepresentation
bin1000010010011111…
…0000101011110100
312202001202111111222
42010213300223310
514024100444130
61004441445512
7106065214526
oct20447605364
95661674458
102225015540
11a41a66120
125211a0898
13295c7c957
1417170da16
15d050dce5
hex849f0af4

2225015540 has 48 divisors (see below), whose sum is σ = 5112604224. Its totient is φ = 806668800.

The previous prime is 2225015509. The next prime is 2225015549. The reversal of 2225015540 is 455105222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225015549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59135 + ... + 89145.

It is an arithmetic number, because the mean of its divisors is an integer number (106512588).

Almost surely, 22225015540 is an apocalyptic number.

2225015540 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 2225015540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556302112).

2225015540 is an abundant number, since it is smaller than the sum of its proper divisors (2887588684).

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

2225015540 is a wasteful number, since it uses less digits than its factorization.

2225015540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30368 (or 30366 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 2225015540 is about 47170.0703836660. The cubic root of 2225015540 is about 1305.5024249217.

The spelling of 2225015540 in words is "two billion, two hundred twenty-five million, fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 337 674 1348 1685 3370 3707 6740 7414 14828 18535 30011 37070 60022 74140 120044 150055 300110 330121 600220 660242 1320484 1650605 3301210 6602420 10113707 20227414 40454828 50568535 101137070 111250777 202274140 222501554 445003108 556253885 1112507770 2225015540