Search a number
-
+
2229822000 = 243353717347
BaseRepresentation
bin1000010011101000…
…0110001000110000
312202101210200202000
42010322012020300
514031313301000
61005132454000
7106154113530
oct20472061060
95671720660
102229822000
11a447492aa
1252291a300
13296c73603
141722014c0
15d0b5d000
hex84e86230

2229822000 has 640 divisors, whose sum is σ = 9693665280. Its totient is φ = 478310400.

The previous prime is 2229821939. The next prime is 2229822013. The reversal of 2229822000 is 2289222.

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

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 127 ways as a sum of consecutive naturals, for example, 6425827 + ... + 6426173.

It is an arithmetic number, because the mean of its divisors is an integer number (15146352).

Almost surely, 22229822000 is an apocalyptic number.

2229822000 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 2229822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846832640).

2229822000 is an abundant number, since it is smaller than the sum of its proper divisors (7463843280).

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

2229822000 is a wasteful number, since it uses less digits than its factorization.

2229822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2229822000 is about 47220.9910950628. The cubic root of 2229822000 is about 1306.4417939879.

The spelling of 2229822000 in words is "two billion, two hundred twenty-nine million, eight hundred twenty-two thousand".