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23204222240232 = 23311312835315523
BaseRepresentation
bin1010100011010101001110…
…11011001000010111101000
310001011022011010220111100010
411101222213123020113220
511020134221343141412
6121203512245011520
74613310154463205
oct521524733102750
9101138133814303
1023204222240232
117436945581550
1227291730b3ba0
13cc41c1ac77b7
145a3139cbacac
152a38dd57333c
hex151aa76c85e8

23204222240232 has 64 divisors (see below), whose sum is σ = 65325669672960. Its totient is φ = 6804757252800.

The previous prime is 23204222240189. The next prime is 23204222240233.

It is a happy number.

23204222240232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23204222240232.

It is not an unprimeable number, because it can be changed into a prime (23204222240233) 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, 1417649578 + ... + 1417665945.

It is an arithmetic number, because the mean of its divisors is an integer number (1020713588640).

Almost surely, 223204222240232 is an apocalyptic number.

23204222240232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23204222240232 is an abundant number, since it is smaller than the sum of its proper divisors (42121447432728).

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

23204222240232 is a wasteful number, since it uses less digits than its factorization.

23204222240232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835315574 (or 2835315570 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2320422 and 2240232, that added together give a palindrome (4560654).

The spelling of 23204222240232 in words is "twenty-three trillion, two hundred four billion, two hundred twenty-two million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 2835315523 5670631046 8505946569 11341262092 17011893138 22682524184 31188470753 34023786276 62376941506 68047572552 87894781213 93565412259 124753883012 175789562426 187130824518 249507766024 263684343639 351579124852 374261649036 527368687278 703158249704 748523298072 966842593343 1054737374556 1933685186686 2109474749112 2900527780029 3867370373372 5801055560058 7734740746744 11602111120116 23204222240232