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1233014020 = 225728331121
BaseRepresentation
bin100100101111110…
…0100110100000100
310011221010121020221
41021133210310010
510011122422040
6322203434124
742361306030
oct11137446404
93157117227
101233014020
11583005757
122a4b25944
131685b32c4
14b9a851c0
15733ac74a
hex497e4d04

1233014020 has 48 divisors (see below), whose sum is σ = 2969785728. Its totient is φ = 421240320.

The previous prime is 1233014017. The next prime is 1233014021. The reversal of 1233014020 is 204103321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1233013985 and 1233014003.

It is not an unprimeable number, because it can be changed into a prime (1233014021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24060 + ... + 55180.

It is an arithmetic number, because the mean of its divisors is an integer number (61870536).

Almost surely, 21233014020 is an apocalyptic number.

1233014020 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 1233014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484892864).

1233014020 is an abundant number, since it is smaller than the sum of its proper divisors (1736771708).

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

1233014020 is a wasteful number, since it uses less digits than its factorization.

1233014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31420 (or 31418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1233014020 is about 35114.2993664974. The cubic root of 1233014020 is about 1072.3157171832.

Adding to 1233014020 its reverse (204103321), we get a palindrome (1437117341).

The spelling of 1233014020 in words is "one billion, two hundred thirty-three million, fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1981 2830 3962 5660 7924 9905 19810 31121 39620 62242 124484 155605 217847 311210 435694 622420 871388 1089235 2178470 4356940 8807243 17614486 35228972 44036215 61650701 88072430 123301402 176144860 246602804 308253505 616507010 1233014020