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2228022720 = 2633571117197
BaseRepresentation
bin1000010011001100…
…1110110111000000
312202021102021121000
42010303032313000
514030333211340
61005030132000
7106132611030
oct20463166700
95667367530
102228022720
11a4372a4a0
125221b1000
13296793651
14171c938c0
15d0904d30
hex84ccedc0

2228022720 has 896 divisors, whose sum is σ = 10428549120. Its totient is φ = 433520640.

The previous prime is 2228022691. The next prime is 2228022739. The reversal of 2228022720 is 272208222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309662 + ... + 11309858.

Almost surely, 22228022720 is an apocalyptic number.

2228022720 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 2228022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214274560).

2228022720 is an abundant number, since it is smaller than the sum of its proper divisors (8200526400).

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

2228022720 is a wasteful number, since it uses less digits than its factorization.

2228022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2228022720 is about 47201.9355535342. The cubic root of 2228022720 is about 1306.0903029817.

It can be divided in two parts, 222802 and 2720, that added together give a palindrome (225522).

The spelling of 2228022720 in words is "two billion, two hundred twenty-eight million, twenty-two thousand, seven hundred twenty".