Search a number
-
+
99114268 = 221123372647
BaseRepresentation
bin1011110100001…
…01110100011100
320220111112012211
411322011310130
5200333124033
613500210204
72312312611
oct572056434
9226445184
1099114268
1150a47020
1229239964
13176c35c6
14d240508
158a7c2cd
hex5e85d1c

99114268 has 48 divisors (see below), whose sum is σ = 202857984. Its totient is φ = 41912640.

The previous prime is 99114209. The next prime is 99114287. The reversal of 99114268 is 86241199.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99114268.

It is a congruent number.

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, 36121 + ... + 38767.

It is an arithmetic number, because the mean of its divisors is an integer number (4226208).

Almost surely, 299114268 is an apocalyptic number.

99114268 is the 5322-nd centered heptagonal number.

It is an amenable number.

99114268 is an abundant number, since it is smaller than the sum of its proper divisors (103743716).

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

99114268 is a wasteful number, since it uses less digits than its factorization.

99114268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2720 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 99114268 is about 9955.6148981366. The cubic root of 99114268 is about 462.7844160525.

The spelling of 99114268 in words is "ninety-nine million, one hundred fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 22 23 37 44 46 74 92 148 253 407 506 814 851 1012 1628 1702 2647 3404 5294 9361 10588 18722 29117 37444 58234 60881 97939 116468 121762 195878 243524 391756 669691 1077329 1339382 2154658 2252597 2678764 4309316 4505194 9010388 24778567 49557134 99114268