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1132222440 = 2335171992789
BaseRepresentation
bin100001101111100…
…0101011111101000
32220220110212012110
41003133011133220
54304322104230
6304203242320
740025506026
oct10337053750
92826425173
101132222440
11531123528
122772193a0
1315075340b
14aa529716
15695ed4b0
hex437c57e8

1132222440 has 128 divisors (see below), whose sum is σ = 3615840000. Its totient is φ = 282636288.

The previous prime is 1132222439. The next prime is 1132222471. The reversal of 1132222440 is 442222311.

It is an unprimeable number.

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, 404566 + ... + 407354.

It is an arithmetic number, because the mean of its divisors is an integer number (28248750).

Almost surely, 21132222440 is an apocalyptic number.

1132222440 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 1132222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807920000).

1132222440 is an abundant number, since it is smaller than the sum of its proper divisors (2483617560).

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

1132222440 is a wasteful number, since it uses less digits than its factorization.

1132222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1132222440 is about 33648.5131915216. The cubic root of 1132222440 is about 1042.2628367453.

Adding to 1132222440 its reverse (442222311), we get a palindrome (1574444751).

The spelling of 1132222440 in words is "one billion, one hundred thirty-two million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 199 204 255 340 398 408 510 597 680 796 995 1020 1194 1592 1990 2040 2388 2789 2985 3383 3980 4776 5578 5970 6766 7960 8367 10149 11156 11940 13532 13945 16734 16915 20298 22312 23880 27064 27890 33468 33830 40596 41835 47413 50745 55780 66936 67660 81192 83670 94826 101490 111560 135320 142239 167340 189652 202980 237065 284478 334680 379304 405960 474130 555011 568956 711195 948260 1110022 1137912 1422390 1665033 1896520 2220044 2775055 2844780 3330066 4440088 5550110 5689560 6660132 8325165 9435187 11100220 13320264 16650330 18870374 22200440 28305561 33300660 37740748 47175935 56611122 66601320 75481496 94351870 113222244 141527805 188703740 226444488 283055610 377407480 566111220 1132222440