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1233214020 = 223256851189
BaseRepresentation
bin100100110000001…
…0101101001000100
310011221111202121100
41021200111221010
510011200322040
6322212020100
742363101103
oct11140255104
93157452540
101233214020
11583131a45
122a5001630
1316865334c
14b9ad803a
15733ebb30
hex49815a44

1233214020 has 36 divisors (see below), whose sum is σ = 3740749740. Its totient is φ = 328857024.

The previous prime is 1233214001. The next prime is 1233214027. The reversal of 1233214020 is 204123321.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 265755204 = 31104^2 + 16302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1233213984 and 1233214002.

It is not an unprimeable number, because it can be changed into a prime (1233214027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3425415 + ... + 3425774.

It is an arithmetic number, because the mean of its divisors is an integer number (103909715).

Almost surely, 21233214020 is an apocalyptic number.

1233214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233214020 is an abundant number, since it is smaller than the sum of its proper divisors (2507535720).

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

1233214020 is a wasteful number, since it uses less digits than its factorization.

1233214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851204 (or 6851199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1233214020 is about 35117.1470936920. The cubic root of 1233214020 is about 1072.3736920711.

Adding to 1233214020 its reverse (204123321), we get a palindrome (1437337341).

The spelling of 1233214020 in words is "one billion, two hundred thirty-three million, two hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6851189 13702378 20553567 27404756 34255945 41107134 61660701 68511890 82214268 102767835 123321402 137023780 205535670 246642804 308303505 411071340 616607010 1233214020