Search a number
-
+
23230023201 = 32711176832887
BaseRepresentation
bin10101101000100111…
…100000011000100001
32012221221101110002200
4111220213200120201
5340033341220301
614401032003413
71451442640110
oct255047403041
965857343080
1023230023201
119940819290
124603830569
132262928b78
1411a5287c77
1590e5e9c86
hex5689e0621

23230023201 has 96 divisors (see below), whose sum is σ = 44375205888. Its totient is φ = 11337131520.

The previous prime is 23230023199. The next prime is 23230023217. The reversal of 23230023201 is 10232003232.

It is a happy number.

It is not a de Polignac number, because 23230023201 - 21 = 23230023199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23230023221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8044980 + ... + 8047866.

It is an arithmetic number, because the mean of its divisors is an integer number (462241728).

Almost surely, 223230023201 is an apocalyptic number.

23230023201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23230023201 is a deficient number, since it is larger than the sum of its proper divisors (21145182687).

23230023201 is a wasteful number, since it uses less digits than its factorization.

23230023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23230023201 its reverse (10232003232), we get a palindrome (33462026433).

The spelling of 23230023201 in words is "twenty-three billion, two hundred thirty million, twenty-three thousand, two hundred one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 683 693 1071 1309 1683 2049 2887 3927 4781 6147 7513 8661 11611 11781 14343 20209 22539 25983 31757 34833 43029 49079 52591 60627 67617 81277 95271 104499 127721 147237 157773 181881 222299 243831 285813 343553 383163 441711 473319 539869 666897 731493 894047 1030659 1149489 1619607 1971821 2000691 2682141 3091977 3779083 4858821 5915463 8046423 11337249 13802747 17746389 21690031 33520957 34011747 41408241 65070093 100562871 124224723 151830217 195210279 234646699 301688613 368730527 455490651 703940097 1106191581 1366471953 2111820291 2581113689 3318574743 7743341067 23230023201