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1386223272 = 2332719314251
BaseRepresentation
bin101001010100000…
…0001011010101000
310120121102102211200
41102220001122220
510314333121042
6345315324200
746231463160
oct12250013250
93517372750
101386223272
1165153a075
123282b0660
13191266b75
14d21675a0
1581a72c4c
hex52a016a8

1386223272 has 96 divisors (see below), whose sum is σ = 4313225280. Its totient is φ = 393984000.

The previous prime is 1386223259. The next prime is 1386223297. The reversal of 1386223272 is 2723226831.

1386223272 is a `hidden beast` number, since 1 + 3 + 8 + 622 + 3 + 27 + 2 = 666.

It is a super-2 number, since 2×13862232722 = 3843229919668771968, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90147 + ... + 104397.

It is an arithmetic number, because the mean of its divisors is an integer number (44929430).

Almost surely, 21386223272 is an apocalyptic number.

1386223272 is a gapful number since it is divisible by the number (12) 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 1386223272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156612640).

1386223272 is an abundant number, since it is smaller than the sum of its proper divisors (2927002008).

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

1386223272 is a wasteful number, since it uses less digits than its factorization.

1386223272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14463 (or 14456 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1386223272 is about 37232.0194456331. The cubic root of 1386223272 is about 1115.0073456319.

The spelling of 1386223272 in words is "one billion, three hundred eighty-six million, two hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 386 504 579 772 1158 1351 1544 1737 2316 2702 3474 4053 4632 5404 6948 8106 10808 12159 13896 14251 16212 24318 28502 32424 42753 48636 57004 85506 97272 99757 114008 128259 171012 199514 256518 299271 342024 399028 513036 598542 798056 897813 1026072 1197084 1795626 2394168 2750443 3591252 5500886 7182504 8251329 11001772 16502658 19253101 22003544 24753987 33005316 38506202 49507974 57759303 66010632 77012404 99015948 115518606 154024808 173277909 198031896 231037212 346555818 462074424 693111636 1386223272