Search a number
-
+
21302232224 = 2571312757601
BaseRepresentation
bin10011110101101101…
…100100010010100000
32000222120220112000212
4103311231210102200
5322111332412344
613441444433252
71352613662210
oct236555442240
960876815025
1021302232224
1190416113a9
1241660a8828
132016414950
141061228240
1584a24c79e
hex4f5b644a0

21302232224 has 96 divisors (see below), whose sum is σ = 52024283136. Its totient is φ = 8360755200.

The previous prime is 21302232163. The next prime is 21302232241. The reversal of 21302232224 is 42223220312.

It is a self number, because there is not a number n which added to its sum of digits gives 21302232224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341024 + ... + 398624.

It is an arithmetic number, because the mean of its divisors is an integer number (541919616).

Almost surely, 221302232224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012141568).

21302232224 is an abundant number, since it is smaller than the sum of its proper divisors (30722050912).

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

21302232224 is a wasteful number, since it uses less digits than its factorization.

21302232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57758 (or 57750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 21302232224 its reverse (42223220312), we get a palindrome (63525452536).

The spelling of 21302232224 in words is "twenty-one billion, three hundred two million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 364 416 508 728 889 1016 1456 1651 1778 2032 2912 3302 3556 4064 6604 7112 11557 13208 14224 23114 26416 28448 46228 52832 57601 92456 115202 184912 230404 369824 403207 460808 748813 806414 921616 1497626 1612828 1843232 2995252 3225656 5241691 5990504 6451312 7315327 10483382 11981008 12902624 14630654 20966764 23962016 29261308 41933528 51207289 58522616 83867056 95099251 102414578 117045232 167734112 190198502 204829156 234090464 380397004 409658312 665694757 760794008 819316624 1331389514 1521588016 1638633248 2662779028 3043176032 5325558056 10651116112 21302232224