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1220333540 = 225237933581
BaseRepresentation
bin100100010111100…
…1100111111100100
310011001021100220112
41020233030333210
54444401133130
6321031552152
742145443506
oct11057147744
93131240815
101220333540
11576934718
122a082b658
13165a9366a
14b8103d76
1572205495
hex48bccfe4

1220333540 has 48 divisors (see below), whose sum is σ = 2708052480. Its totient is φ = 460986240.

The previous prime is 1220333537. The next prime is 1220333561. The reversal of 1220333540 is 453330221.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19550 + ... + 53130.

It is an arithmetic number, because the mean of its divisors is an integer number (56417760).

Almost surely, 21220333540 is an apocalyptic number.

1220333540 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 1220333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354026240).

1220333540 is an abundant number, since it is smaller than the sum of its proper divisors (1487718940).

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

1220333540 is a wasteful number, since it uses less digits than its factorization.

1220333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33692 (or 33690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 1220333540 is about 34933.2726780644. The cubic root of 1220333540 is about 1068.6270976167.

Adding to 1220333540 its reverse (453330221), we get a palindrome (1673663761).

The spelling of 1220333540 in words is "one billion, two hundred twenty million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 18170 33581 36340 67162 134324 167905 335810 671620 772363 1544726 2652899 3089452 3861815 5305798 7723630 10611596 13264495 15447260 26528990 53057980 61016677 122033354 244066708 305083385 610166770 1220333540