Search a number
-
+
23204211240232 = 23111672699915923
BaseRepresentation
bin1010100011010101001101…
…10001001010110100101000
310001011022010101012122011201
411101222212301022310220
511020134211034141412
6121203511213133544
74613306662130221
oct521524661126450
9101138111178151
1023204211240232
11743693a349040
12272916b48a2b4
13cc41bc745a19
145a3138656248
152a38dc5ede57
hex151aa6c4ad28

23204211240232 has 128 divisors (see below), whose sum is σ = 47981328998400. Its totient is φ = 10432934265600.

The previous prime is 23204211240227. The next prime is 23204211240269.

23204211240232 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 23204211240232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917642023 + ... + 3917647945.

It is an arithmetic number, because the mean of its divisors is an integer number (374854132800).

Almost surely, 223204211240232 is an apocalyptic number.

23204211240232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23204211240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990664499200).

23204211240232 is an abundant number, since it is smaller than the sum of its proper divisors (24777117758168).

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

23204211240232 is a wasteful number, since it uses less digits than its factorization.

23204211240232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2320421 and 1240232, that added together give a palindrome (3560653).

The spelling of 23204211240232 in words is "twenty-three trillion, two hundred four billion, two hundred eleven million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 167 269 334 538 668 991 1076 1336 1837 1982 2152 2959 3674 3964 5918 5923 7348 7928 10901 11836 11846 14696 21802 23672 23692 43604 44923 47384 65153 87208 89846 130306 165497 179692 260612 266579 330994 359384 494153 521224 533158 661988 988306 989141 1066316 1323976 1593287 1820467 1976612 1978282 2132632 2932369 3186574 3640934 3953224 3956564 5864738 5869693 6373148 7281868 7913128 10880551 11729476 11739386 12746296 14563736 17526157 21761102 23458952 23478772 35052314 43522204 44518693 46957544 64566623 70104628 87044408 89037386 129133246 140209256 178074772 258266492 266078929 356149544 489705623 516532984 532157858 979411246 980238731 1064315716 1578947417 1958822492 1960477462 2128631432 2926868219 3157894834 3917644984 3920954924 5853736438 6315789668 7841909848 10782626041 11707472876 12631579336 17368421587 21565252082 23414945752 34736843174 43130504164 69473686348 86261008328 138947372696 263684218639 527368437278 1054736874556 2109473749112 2900526405029 5801052810058 11602105620116 23204211240232