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2222940720 = 24357111319487
BaseRepresentation
bin1000010001111111…
…0110001000110000
312201220212002101210
42010133312020300
514023033100340
61004325200120
7106041453510
oct20437661060
95656762353
102222940720
11a408792a0
12520560040
13295704450
1417132d840
15d024e180
hex847f6230

2222940720 has 640 divisors, whose sum is σ = 9759375360. Its totient is φ = 403107840.

The previous prime is 2222940691. The next prime is 2222940721. The reversal of 2222940720 is 270492222.

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

It is not an unprimeable number, because it can be changed into a prime (2222940721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4564317 + ... + 4564803.

It is an arithmetic number, because the mean of its divisors is an integer number (15249024).

Almost surely, 22222940720 is an apocalyptic number.

2222940720 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 2222940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879687680).

2222940720 is an abundant number, since it is smaller than the sum of its proper divisors (7536434640).

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

2222940720 is a wasteful number, since it uses less digits than its factorization.

2222940720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2222940720 is about 47148.0722829683. The cubic root of 2222940720 is about 1305.0965064198.

The spelling of 2222940720 in words is "two billion, two hundred twenty-two million, nine hundred forty thousand, seven hundred twenty".