Search a number
-
+
202234210431 = 3112718539199
BaseRepresentation
bin1011110001011000011…
…0010010100001111111
3201100000001100100000220
42330112012102201333
511303133424213211
6232523300552423
720416360266021
oct2742606224177
9640001310026
10202234210431
1178848a37600
123323b9b2713
13160bc16b096
149b06b06011
1553d969c806
hex2f1619287f

202234210431 has 48 divisors (see below), whose sum is σ = 300946867200. Its totient is φ = 120685118400.

The previous prime is 202234210307. The next prime is 202234210471. The reversal of 202234210431 is 134012432202.

It is a happy number.

It is not a de Polignac number, because 202234210431 - 222 = 202230016127 is a prime.

It is a super-3 number, since 3×2022342104313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202234210471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21979770 + ... + 21988968.

It is an arithmetic number, because the mean of its divisors is an integer number (6269726400).

Almost surely, 2202234210431 is an apocalyptic number.

202234210431 is a deficient number, since it is larger than the sum of its proper divisors (98712656769).

202234210431 is a wasteful number, since it uses less digits than its factorization.

202234210431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202234210431 its reverse (134012432202), we get a palindrome (336246642633).

The spelling of 202234210431 in words is "two hundred two billion, two hundred thirty-four million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 11 33 71 121 213 363 781 853 2343 2559 8591 9199 9383 25773 27597 28149 60563 101189 103213 181689 303567 309639 653129 666193 1113079 1959387 1998579 3339237 7184419 7328123 7846747 21553257 21984369 23540241 79028609 86314217 237085827 258942651 557119037 949456387 1671357111 2848369161 6128309407 18384928221 67411403477 202234210431