Search a number
-
+
23400013212224 = 261123021695921
BaseRepresentation
bin1010101001000001111010…
…11110011010101001000000
310001212000112011011101212022
411110200331132122221000
511031341211340242344
6121433452341021012
74633411066335425
oct524407536325100
9101760464141768
1023400013212224
11750198746a700
12275b0b50b4768
1310097c50c994c
145ac7d0d95d4c
152a8a4c2330ee
hex15483d79aa40

23400013212224 has 42 divisors (see below), whose sum is σ = 51039465818502. Its totient is φ = 10636369638400.

The previous prime is 23400013212181. The next prime is 23400013212287. The reversal of 23400013212224 is 42221231000432.

It can be written as a sum of positive squares in only one way, i.e., 12605056129600 + 10794957082624 = 3550360^2 + 3285568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23400013212193 and 23400013212202.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1510840217 + ... + 1510855704.

It is an arithmetic number, because the mean of its divisors is an integer number (1215225376631).

Almost surely, 223400013212224 is an apocalyptic number.

It is an amenable number.

23400013212224 is an abundant number, since it is smaller than the sum of its proper divisors (27639452606278).

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

23400013212224 is a wasteful number, since it uses less digits than its factorization.

23400013212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021695955 (or 3021695934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23400013212224 its reverse (42221231000432), we get a palindrome (65621244212656).

The spelling of 23400013212224 in words is "twenty-three trillion, four hundred billion, thirteen million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 3021695921 6043391842 12086783684 24173567368 33238655131 48347134736 66477310262 96694269472 132954620524 193388538944 265909241048 365625206441 531818482096 731250412882 1063636964192 1462500825764 2127273928384 2925001651528 5850003303056 11700006606112 23400013212224