Search a number
-
+
226102100146614 = 23335311861404897
BaseRepresentation
bin110011011010001101111111…
…010111001011100110110110
31002122120011001010001221221000
4303122031333113023212312
5214113424100114142424
62120513512035104130
765424223550643546
oct6332157727134666
91078504033057830
10226102100146614
11660523a907709a
1221438127a42046
13992144b551933
143db95859b9326
151b2167b68d3c9
hexcda37f5cb9b6

226102100146614 has 32 divisors (see below), whose sum is σ = 503872480067040. Its totient is φ = 75153861421056.

The previous prime is 226102100146603. The next prime is 226102100146619. The reversal of 226102100146614 is 416641001201622.

226102100146614 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 0 + 21 + 0 + 0 + 14 + 6 + 614 = 666.

It is a super-2 number, since 2×2261021001466142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226102100146619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5930683387 + ... + 5930721510.

It is an arithmetic number, because the mean of its divisors is an integer number (15746015002095).

Almost surely, 2226102100146614 is an apocalyptic number.

226102100146614 is an abundant number, since it is smaller than the sum of its proper divisors (277770379920426).

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

226102100146614 is a wasteful number, since it uses less digits than its factorization.

226102100146614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861405261 (or 11861405255 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 226102100146614 in words is "two hundred twenty-six trillion, one hundred two billion, one hundred million, one hundred forty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 353 706 1059 2118 3177 6354 9531 19062 11861404897 23722809794 35584214691 71168429382 106752644073 213505288146 320257932219 640515864438 4187075928641 8374151857282 12561227785923 25122455571846 37683683357769 75367366715538 113051050073307 226102100146614