Search a number
-
+
23402222220432 = 2431144322390569
BaseRepresentation
bin1010101001000110000010…
…01001000111010010010000
310001212020020002210122110010
411110203001021013102100
511031410222342023212
6121434455451434520
74633516611523536
oct524430111072220
9101766202718403
1023402222220432
117502910392220
12275b610a55a40
131009a879635b3
145ac9604da156
152a8b2b12e03c
hex1548c1247490

23402222220432 has 40 divisors (see below), whose sum is σ = 65951717168160. Its totient is φ = 7091582490880.

The previous prime is 23402222220409. The next prime is 23402222220523.

It is a happy number.

23402222220432 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 23402222220432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22161194757 + ... + 22161195812.

It is an arithmetic number, because the mean of its divisors is an integer number (1648792929204).

Almost surely, 223402222220432 is an apocalyptic number.

23402222220432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23402222220432 is an abundant number, since it is smaller than the sum of its proper divisors (42549494947728).

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

23402222220432 is a wasteful number, since it uses less digits than its factorization.

23402222220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44322390591 (or 44322390585 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, 2340222 and 2220432, that added together give a palindrome (4560654).

The spelling of 23402222220432 in words is "twenty-three trillion, four hundred two billion, two hundred twenty-two million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 44322390569 88644781138 132967171707 177289562276 265934343414 354579124552 487546296259 531868686828 709158249104 975092592518 1063737373656 1462638888777 1950185185036 2127474747312 2925277777554 3900370370072 5850555555108 7800740740144 11701111110216 23402222220432