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1122391368 = 2332712491783
BaseRepresentation
bin100001011100110…
…0101010101001000
32220012222101111200
41002321211111020
54244313010433
6303212424200
736546112020
oct10271452510
92805871450
101122391368
1152661927a
12273a78060
1314b6c0707
14a90caa80
156880a613
hex42e65548

1122391368 has 96 divisors (see below), whose sum is σ = 3478800000. Its totient is φ = 320246784.

The previous prime is 1122391367. The next prime is 1122391393. The reversal of 1122391368 is 8631932211.

It is a super-2 number, since 2×11223913682 = 2519524765921822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1122391367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628605 + ... + 630387.

It is an arithmetic number, because the mean of its divisors is an integer number (36237500).

Almost surely, 21122391368 is an apocalyptic number.

1122391368 is a gapful number since it is divisible by the number (18) 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 1122391368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739400000).

1122391368 is an abundant number, since it is smaller than the sum of its proper divisors (2356408632).

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

1122391368 is a wasteful number, since it uses less digits than its factorization.

1122391368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3044 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1122391368 is about 33502.1099037061. The cubic root of 1122391368 is about 1039.2374118703.

The spelling of 1122391368 in words is "one billion, one hundred twenty-two million, three hundred ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1249 1783 2498 3566 3747 4996 5349 7132 7494 8743 9992 10698 11241 12481 14264 14988 16047 17486 21396 22482 24962 26229 29976 32094 34972 37443 42792 44964 49924 52458 64188 69944 74886 78687 89928 99848 104916 112329 128376 149772 157374 209832 224658 299544 314748 449316 629496 898632 2226967 4453934 6680901 8907868 13361802 15588769 17815736 20042703 26723604 31177538 40085406 46766307 53447208 62355076 80170812 93532614 124710152 140298921 160341624 187065228 280597842 374130456 561195684 1122391368