Search a number
-
+
1122070950 = 23252711134753
BaseRepresentation
bin100001011100001…
…0111000110100110
32220012101002222100
41002320113012212
54244222232300
6303201512530
736543305610
oct10270270646
92805332870
101122070950
1152641a570
12273942746
1314b60a910
14a9045db0
1568795700
hex42e171a6

1122070950 has 576 divisors, whose sum is σ = 4211730432. Its totient is φ = 206668800.

The previous prime is 1122070949. The next prime is 1122070951. The reversal of 1122070950 is 590702211.

It is an interprime number because it is at equal distance from previous prime (1122070949) and next prime (1122070951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122070951) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21171124 + ... + 21171176.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 21122070950 is an apocalyptic number.

1122070950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122070950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105865216).

1122070950 is an abundant number, since it is smaller than the sum of its proper divisors (3089659482).

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

1122070950 is a wasteful number, since it uses less digits than its factorization.

1122070950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1122070950 is about 33497.3275053399. The cubic root of 1122070950 is about 1039.1385093321.

The spelling of 1122070950 in words is "one billion, one hundred twenty-two million, seventy thousand, nine hundred fifty".