Search a number
-
+
2262250416 = 243891733061
BaseRepresentation
bin1000011011010111…
…0011001110110000
312211122211020011110
42012311303032300
514113114003131
61012251513320
7110026545156
oct20665631660
95748736143
102262250416
11a60a88248
12531758840
132a08b8a1a
141766433d6
15d3916646
hex86d733b0

2262250416 has 80 divisors (see below), whose sum is σ = 5945914080. Its totient is φ = 741058560.

The previous prime is 2262250391. The next prime is 2262250433. The reversal of 2262250416 is 6140522622.

It is a happy number.

2262250416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737526 + ... + 740586.

It is an arithmetic number, because the mean of its divisors is an integer number (74323926).

Almost surely, 22262250416 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 2262250416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972957040).

2262250416 is an abundant number, since it is smaller than the sum of its proper divisors (3683663664).

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

2262250416 is a wasteful number, since it uses less digits than its factorization.

2262250416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2262250416 is about 47563.1203349822. The cubic root of 2262250416 is about 1312.7445549559.

The spelling of 2262250416 in words is "two billion, two hundred sixty-two million, two hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 173 178 267 346 356 519 534 692 712 1038 1068 1384 1424 2076 2136 2768 3061 4152 4272 6122 8304 9183 12244 15397 18366 24488 30794 36732 46191 48976 61588 73464 92382 123176 146928 184764 246352 272429 369528 529553 544858 739056 817287 1059106 1089716 1588659 1634574 2118212 2179432 3177318 3269148 4236424 4358864 6354636 6538296 8472848 12709272 13076592 25418544 47130217 94260434 141390651 188520868 282781302 377041736 565562604 754083472 1131125208 2262250416