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2228688400 = 24525571721
BaseRepresentation
bin1000010011010111…
…0001011000010000
312202022200002201211
42010311301120100
514031021012100
61005052305504
7106141352551
oct20465613020
95668602654
102228688400
11a44044644
12522472294
13296967643
14171dc8328
15d09d71ba
hex84d71610

2228688400 has 30 divisors (see below), whose sum is σ = 5354424842. Its totient is φ = 891475200.

The previous prime is 2228688379. The next prime is 2228688401. The reversal of 2228688400 is 48868222.

It can be written as a sum of positive squares in 3 ways, for example, as 309197056 + 1919491344 = 17584^2 + 43812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2228688401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2785461 + ... + 2786260.

Almost surely, 22228688400 is an apocalyptic number.

2228688400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228688400 is an abundant number, since it is smaller than the sum of its proper divisors (3125736442).

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

2228688400 is a wasteful number, since it uses less digits than its factorization.

2228688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571739 (or 5571728 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2228688400 is about 47208.9864326698. The cubic root of 2228688400 is about 1306.2203662302.

The spelling of 2228688400 in words is "two billion, two hundred twenty-eight million, six hundred eighty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5571721 11143442 22286884 27858605 44573768 55717210 89147536 111434420 139293025 222868840 278586050 445737680 557172100 1114344200 2228688400