Search a number
-
+
2098166688 = 25327992219
BaseRepresentation
bin111110100001111…
…0111101110100000
312102020001220121100
41331003313232200
513244112313223
6544110554400
7102665060022
oct17503675640
95366056540
102098166688
119873a6762
124a6808a00
132758c8567
1415c930012
15c4304043
hex7d0f7ba0

2098166688 has 72 divisors (see below), whose sum is σ = 6042254400. Its totient is φ = 690528384.

The previous prime is 2098166687. The next prime is 2098166699. The reversal of 2098166688 is 8866618902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2098166687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23358 + ... + 68861.

It is an arithmetic number, because the mean of its divisors is an integer number (83920200).

Almost surely, 22098166688 is an apocalyptic number.

It is an amenable number.

2098166688 is an abundant number, since it is smaller than the sum of its proper divisors (3944087712).

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

2098166688 is a wasteful number, since it uses less digits than its factorization.

2098166688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92314 (or 92303 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2098166688 is about 45805.7495081131. The cubic root of 2098166688 is about 1280.2064055165.

The spelling of 2098166688 in words is "two billion, ninety-eight million, one hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 92219 184438 276657 368876 553314 737752 829971 1106628 1475504 1659942 2213256 2951008 3319884 4426512 6639768 7285301 8853024 13279536 14570602 21855903 26559072 29141204 43711806 58282408 65567709 87423612 116564816 131135418 174847224 233129632 262270836 349694448 524541672 699388896 1049083344 2098166688