Search a number
-
+
21225652212 = 22323375339217
BaseRepresentation
bin10011110001001001…
…011011111111110100
32000210020210212000010
4103301021123333310
5321432231332322
613430111220220
71350664031652
oct236111337764
960706725003
1021225652212
119002366736
124144517670
1320035b112b
141054db1dd2
1584367220c
hex4f125bff4

21225652212 has 96 divisors (see below), whose sum is σ = 54079425792. Its totient is φ = 6460286976.

The previous prime is 21225652199. The next prime is 21225652213.

21225652212 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 21225652212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225652213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521628 + ... + 560844.

It is an arithmetic number, because the mean of its divisors is an integer number (563327352).

Almost surely, 221225652212 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 21225652212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27039712896).

21225652212 is an abundant number, since it is smaller than the sum of its proper divisors (32853773580).

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

21225652212 is a wasteful number, since it uses less digits than its factorization.

21225652212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39337 (or 39335 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The spelling of 21225652212 in words is "twenty-one billion, two hundred twenty-five million, six hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 53 69 74 92 106 111 138 148 159 212 222 276 318 444 636 851 1219 1702 1961 2438 2553 3404 3657 3922 4876 5106 5883 7314 7844 10212 11766 14628 23532 39217 45103 78434 90206 117651 135309 156868 180412 235302 270618 470604 541236 901991 1451029 1803982 2078501 2705973 2902058 3607964 4157002 4353087 5411946 5804116 6235503 8314004 8706174 10823892 12471006 17412348 24942012 33373667 47805523 66747334 76904537 95611046 100121001 133494668 143416569 153809074 191222092 200242002 230713611 286833138 307618148 400484004 461427222 573666276 922854444 1768804351 3537608702 5306413053 7075217404 10612826106 21225652212