Search a number
-
+
2242702164 = 2231937833203
BaseRepresentation
bin1000010110101100…
…1110101101010100
312210022001002000010
42011223032231110
514043112432124
61010312520220
7106401440163
oct20553165524
95708032003
102242702164
11a50a4636a
125270b0070
13299833101
14173bd53da
15d1d54529
hex85aceb54

2242702164 has 96 divisors (see below), whose sum is σ = 5727214080. Its totient is φ = 680565888.

The previous prime is 2242702151. The next prime is 2242702213. The reversal of 2242702164 is 4612072422.

2242702164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698587 + ... + 701789.

It is an arithmetic number, because the mean of its divisors is an integer number (59658480).

Almost surely, 22242702164 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 2242702164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863607040).

2242702164 is an abundant number, since it is smaller than the sum of its proper divisors (3484511916).

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

2242702164 is a wasteful number, since it uses less digits than its factorization.

2242702164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2242702164 is about 47357.1764783332. The cubic root of 2242702164 is about 1308.9524410869.

Adding to 2242702164 its reverse (4612072422), we get a palindrome (6854774586).

The spelling of 2242702164 in words is "two billion, two hundred forty-two million, seven hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 83 111 114 148 166 222 228 249 332 444 498 703 996 1406 1577 2109 2812 3071 3154 3203 4218 4731 6142 6308 6406 8436 9213 9462 9609 12284 12812 18426 18924 19218 36852 38436 58349 60857 116698 118511 121714 175047 182571 233396 237022 243428 265849 350094 355533 365142 474044 531698 700188 711066 730284 797547 1063396 1422132 1595094 2251709 3190188 4503418 5051131 6755127 9006836 9836413 10102262 13510254 15153393 19672826 20204524 27020508 29509239 30306786 39345652 59018478 60613572 118036956 186891847 373783694 560675541 747567388 1121351082 2242702164