Search a number
-
+
1022098086 = 232313535189
BaseRepresentation
bin111100111010111…
…111101010100110
32122020020221222200
4330322333222212
54043124114321
6245231035330
734220455542
oct7472775246
92566227880
101022098086
11484a47469
1224636bb46
131339a6589
1499a60a22
155eae8d26
hex3cebfaa6

1022098086 has 48 divisors (see below), whose sum is σ = 2292900480. Its totient is φ = 328711680.

The previous prime is 1022098043. The next prime is 1022098151. The reversal of 1022098086 is 6808902201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022098086.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194380 + ... + 199568.

It is an arithmetic number, because the mean of its divisors is an integer number (47768760).

Almost surely, 21022098086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022098086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146450240).

1022098086 is an abundant number, since it is smaller than the sum of its proper divisors (1270802394).

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

1022098086 is a wasteful number, since it uses less digits than its factorization.

1022098086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1022098086 is about 31970.2687821044. The cubic root of 1022098086 is about 1007.3124267461.

The spelling of 1022098086 in words is "one billion, twenty-two million, ninety-eight thousand, eighty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 353 558 706 1059 2118 3177 5189 6354 10378 10943 15567 21886 31134 32829 46701 65658 93402 98487 160859 196974 321718 482577 965154 1447731 1831717 2895462 3663434 5495151 10990302 16485453 32970906 56783227 113566454 170349681 340699362 511049043 1022098086