Search a number
-
+
1121022196 = 227219729033
BaseRepresentation
bin100001011010001…
…0111000011110100
32220010101211100121
41002310113003310
54243440202241
6303123221324
736531350200
oct10264270364
92803354317
101121022196
11525873628
12273517844
1314b331458
14a8c51b00
1568639ad1
hex42d170f4

1121022196 has 36 divisors (see below), whose sum is σ = 2293744068. Its totient is φ = 477982848.

The previous prime is 1121022187. The next prime is 1121022197. The reversal of 1121022196 is 6912201211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 824493796 + 296528400 = 28714^2 + 17220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1121022196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121022197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24096 + ... + 53128.

It is an arithmetic number, because the mean of its divisors is an integer number (63715113).

Almost surely, 21121022196 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 1121022196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146872034).

1121022196 is an abundant number, since it is smaller than the sum of its proper divisors (1172721872).

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

1121022196 is a wasteful number, since it uses less digits than its factorization.

1121022196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29248 (or 29239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1121022196 is about 33481.6695521594. The cubic root of 1121022196 is about 1038.8146616065.

The spelling of 1121022196 in words is "one billion, one hundred twenty-one million, twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 197 394 788 1379 2758 5516 9653 19306 29033 38612 58066 116132 203231 406462 812924 1422617 2845234 5690468 5719501 11439002 22878004 40036507 80073014 160146028 280255549 560511098 1121022196