Search a number
-
+
2228312208 = 243298291931
BaseRepresentation
bin1000010011010001…
…0101100010010000
312202021221222200210
42010310111202100
514030421442313
61005040244120
7106135225023
oct20464254220
95667858623
102228312208
11a43907a41
12522310640
13296865345
14171d2b1ba
15d09609c3
hex84d15890

2228312208 has 80 divisors (see below), whose sum is σ = 5965243200. Its totient is φ = 715921920.

The previous prime is 2228312183. The next prime is 2228312263. The reversal of 2228312208 is 8022138222.

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 15 ways as a sum of consecutive naturals, for example, 1153003 + ... + 1154933.

It is an arithmetic number, because the mean of its divisors is an integer number (74565540).

Almost surely, 22228312208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228312208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982621600).

2228312208 is an abundant number, since it is smaller than the sum of its proper divisors (3736930992).

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

2228312208 is a wasteful number, since it uses less digits than its factorization.

2228312208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2228312208 is about 47205.0019383539. The cubic root of 2228312208 is about 1306.1468674999.

The spelling of 2228312208 in words is "two billion, two hundred twenty-eight million, three hundred twelve thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 829 1392 1658 1931 2487 3316 3862 4974 5793 6632 7724 9948 11586 13264 15448 19896 23172 24041 30896 39792 46344 48082 55999 72123 92688 96164 111998 144246 167997 192328 223996 288492 335994 384656 447992 576984 671988 895984 1153968 1343976 1600799 2687952 3201598 4802397 6403196 9604794 12806392 19209588 25612784 38419176 46423171 76838352 92846342 139269513 185692684 278539026 371385368 557078052 742770736 1114156104 2228312208