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1220442104 = 237177191783
BaseRepresentation
bin100100010111110…
…0111011111111000
310011001110212211102
41020233213133320
54444413121404
6321034150532
742146405150
oct11057473770
93131425742
101220442104
115769a9242
122a0882448
13165b00bbb
14b8131760
157222771e
hex48be77f8

1220442104 has 64 divisors (see below), whose sum is σ = 2774476800. Its totient is φ = 491318784.

The previous prime is 1220442089. The next prime is 1220442161. The reversal of 1220442104 is 4012440221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683597 + ... + 685379.

It is an arithmetic number, because the mean of its divisors is an integer number (43351200).

Almost surely, 21220442104 is an apocalyptic number.

1220442104 is a gapful number since it is divisible by the number (14) 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 1220442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387238400).

1220442104 is an abundant number, since it is smaller than the sum of its proper divisors (1554034696).

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

1220442104 is a wasteful number, since it uses less digits than its factorization.

1220442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1220442104 is about 34934.8265202505. The cubic root of 1220442104 is about 1068.6587859457.

Adding to 1220442104 its reverse (4012440221), we get a palindrome (5232882325).

The spelling of 1220442104 in words is "one billion, two hundred twenty million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 719 952 1438 1783 2876 3566 5033 5752 7132 10066 12223 12481 14264 20132 24446 24962 30311 40264 48892 49924 60622 85561 97784 99848 121244 171122 212177 242488 342244 424354 684488 848708 1281977 1697416 2563954 5127908 8973839 10255816 17947678 21793609 35895356 43587218 71790712 87174436 152555263 174348872 305110526 610221052 1220442104