Search a number
-
+
2255698969524 = 223271121319299501
BaseRepresentation
bin100000110100110010001…
…000101100001110110100
321222122100112120100120200
4200310302020230032310
5243424132414011044
64444130453200500
7321653215612230
oct40646210541664
97878315510520
102255698969524
1179a700298200
12305205030130
13134933220180
147b26810d5c0
153da212ba369
hex20d3222c3b4

2255698969524 has 432 divisors, whose sum is σ = 8119714861440. Its totient is φ = 512360640000.

The previous prime is 2255698969477. The next prime is 2255698969529. The reversal of 2255698969524 is 4259698965522.

2255698969524 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 6 + 9 + 8 + 96 + 9 + 524 = 666.

It is a super-2 number, since 2×22556989695242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255698969529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7381774 + ... + 7681274.

Almost surely, 22255698969524 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 2255698969524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059857430720).

2255698969524 is an abundant number, since it is smaller than the sum of its proper divisors (5864015891916).

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

2255698969524 is a wasteful number, since it uses less digits than its factorization.

2255698969524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299572 (or 299556 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

It can be divided in two parts, 225569896 and 9524, that added together give a triangular number (225579420 = T21240).

The spelling of 2255698969524 in words is "two trillion, two hundred fifty-five billion, six hundred ninety-eight million, nine hundred sixty-nine thousand, five hundred twenty-four".