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1132218330 = 235532512837
BaseRepresentation
bin100001101111100…
…0100011111011010
32220220110122120020
41003133010133122
54304321441310
6304203211310
740025461035
oct10337043732
92826418506
101132218330
11531120431
12277216b36
13150751599
14aa52801c
15695ec170
hex437c47da

1132218330 has 64 divisors (see below), whose sum is σ = 2780604288. Its totient is φ = 294944000.

The previous prime is 1132218323. The next prime is 1132218331. The reversal of 1132218330 is 338122311.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1132218330.

It is not an unprimeable number, because it can be changed into a prime (1132218331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397672 + ... + 400508.

It is an arithmetic number, because the mean of its divisors is an integer number (43446942).

Almost surely, 21132218330 is an apocalyptic number.

1132218330 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 1132218330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390302144).

1132218330 is an abundant number, since it is smaller than the sum of its proper divisors (1648385958).

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

1132218330 is a wasteful number, since it uses less digits than its factorization.

1132218330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1132218330 is about 33648.4521189311. The cubic root of 1132218330 is about 1042.2615755958.

The spelling of 1132218330 in words is "one billion, one hundred thirty-two million, two hundred eighteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 251 265 318 502 530 753 795 1255 1506 1590 2510 2837 3765 5674 7530 8511 13303 14185 17022 26606 28370 39909 42555 66515 79818 85110 133030 150361 199545 300722 399090 451083 712087 751805 902166 1424174 1503610 2136261 2255415 3560435 4272522 4510830 7120870 10681305 21362610 37740611 75481222 113221833 188703055 226443666 377406110 566109165 1132218330