Search a number
-
+
10222252326 = 237111359277
BaseRepresentation
bin10011000010100101…
…10011000100100110
3222101101222020000000
421201102303010212
5131413344033301
64410202202130
7511213465626
oct114122630446
928341866000
1010222252326
114376216520
121b934b3346
13c6ba66120
146cd898886
153ec660786
hex2614b3126

10222252326 has 256 divisors, whose sum is σ = 27574041600. Its totient is φ = 2800759680.

The previous prime is 10222252231. The next prime is 10222252333. The reversal of 10222252326 is 62325222201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10222252326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36903300 + ... + 36903576.

It is an arithmetic number, because the mean of its divisors is an integer number (107711100).

Almost surely, 210222252326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222252326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787020800).

10222252326 is an abundant number, since it is smaller than the sum of its proper divisors (17351789274).

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

10222252326 is a wasteful number, since it uses less digits than its factorization.

10222252326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10222252326 its reverse (62325222201), we get a palindrome (72547474527).

The spelling of 10222252326 in words is "ten billion, two hundred twenty-two million, two hundred fifty-two thousand, three hundred twenty-six".