Search a number
-
+
1122409440 = 25335416337
BaseRepresentation
bin100001011100110…
…1001101111100000
32220020000022022000
41002321221233200
54244314100230
6303213044000
736546215505
oct10271515740
92806008260
101122409440
11526630909
12273a86600
1314b6c89c9
14a90d34ac
1568810b60
hex42e69be0

1122409440 has 192 divisors, whose sum is σ = 4024883520. Its totient is φ = 291962880.

The previous prime is 1122409433. The next prime is 1122409447. The reversal of 1122409440 is 449042211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1122409433) and next prime (1122409447).

It is a super-2 number, since 2×11224094402 = 2519605902002227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122409447) 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, 173952 + ... + 180288.

It is an arithmetic number, because the mean of its divisors is an integer number (20962935).

Almost surely, 21122409440 is an apocalyptic number.

1122409440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012441760).

1122409440 is an abundant number, since it is smaller than the sum of its proper divisors (2902474080).

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

1122409440 is a wasteful number, since it uses less digits than its factorization.

1122409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1122409440 is about 33502.3796169765. The cubic root of 1122409440 is about 1039.2429895437.

The spelling of 1122409440 in words is "one billion, one hundred twenty-two million, four hundred nine thousand, four hundred forty".