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1214404420 = 225411579433
BaseRepresentation
bin100100001100010…
…0101011101000100
310010122010010200111
41020120211131010
54441341420140
6320300522404
742044160445
oct11030453504
93118103614
101214404420
11573555019
1229a850404
131647989c8
14b73dd2cc
15719337ea
hex48625744

1214404420 has 48 divisors (see below), whose sum is σ = 2629369008. Its totient is φ = 470845440.

The previous prime is 1214404397. The next prime is 1214404487. The reversal of 1214404420 is 244044121.

It can be written as a sum of positive squares in 8 ways, for example, as 150209536 + 1064194884 = 12256^2 + 32622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1214404391 and 1214404400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124024 + ... + 133456.

It is an arithmetic number, because the mean of its divisors is an integer number (54778521).

Almost surely, 21214404420 is an apocalyptic number.

1214404420 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 1214404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314684504).

1214404420 is an abundant number, since it is smaller than the sum of its proper divisors (1414964588).

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

1214404420 is a wasteful number, since it uses less digits than its factorization.

1214404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9640 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1214404420 is about 34848.3058411740. The cubic root of 1214404420 is about 1066.8936077462.

Adding to 1214404420 its reverse (244044121), we get a palindrome (1458448541).

The spelling of 1214404420 in words is "one billion, two hundred fourteen million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 157 164 205 314 410 628 785 820 1570 3140 6437 9433 12874 18866 25748 32185 37732 47165 64370 94330 128740 188660 386753 773506 1480981 1547012 1933765 2961962 3867530 5923924 7404905 7735060 14809810 29619620 60720221 121440442 242880884 303601105 607202210 1214404420