Search a number
-
+
21342301224 = 23337103233341
BaseRepresentation
bin10011111000000110…
…011010110000101000
32001002101022020100220
4103320012122300220
5322202112114344
613445435330040
71353611365356
oct237006326050
961071266326
1021342301224
119062199882
1241775b0920
132021803a0a
1410666987d6
1584da14c19
hex4f819ac28

21342301224 has 64 divisors (see below), whose sum is σ = 55330055040. Its totient is φ = 6854595840.

The previous prime is 21342301223. The next prime is 21342301259. The reversal of 21342301224 is 42210324312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21342301194 and 21342301203.

It is not an unprimeable number, because it can be changed into a prime (21342301223) 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, 25207 + ... + 208134.

It is an arithmetic number, because the mean of its divisors is an integer number (864532110).

Almost surely, 221342301224 is an apocalyptic number.

21342301224 is a gapful number since it is divisible by the number (24) 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 21342301224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665027520).

21342301224 is an abundant number, since it is smaller than the sum of its proper divisors (33987753816).

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

21342301224 is a wasteful number, since it uses less digits than its factorization.

21342301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233490 (or 233486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21342301224 its reverse (42210324312), we get a palindrome (63552625536).

The spelling of 21342301224 in words is "twenty-one billion, three hundred forty-two million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 103 111 148 206 222 296 309 412 444 618 824 888 1236 2472 3811 7622 11433 15244 22866 30488 45732 91464 233341 466682 700023 933364 1400046 1866728 2800092 5600184 8633617 17267234 24034123 25900851 34534468 48068246 51801702 69068936 72102369 96136492 103603404 144204738 192272984 207206808 288409476 576818952 889262551 1778525102 2667787653 3557050204 5335575306 7114100408 10671150612 21342301224