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1221679140 = 2235111851029
BaseRepresentation
bin100100011010001…
…0101100000100100
310011010210201201120
41020310111200210
510000222213030
6321120453540
742163046523
oct11064254044
93133721646
101221679140
11577673690
122a117a2b0
13166144c86
14b83744ba
15723be010
hex48d15824

1221679140 has 48 divisors (see below), whose sum is σ = 3731676480. Its totient is φ = 296164480.

The previous prime is 1221679103. The next prime is 1221679171. The reversal of 1221679140 is 419761221.

It is a happy number.

1221679140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12216791402 = 2984999842222279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 924855 + ... + 926174.

It is an arithmetic number, because the mean of its divisors is an integer number (77743260).

Almost surely, 21221679140 is an apocalyptic number.

1221679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221679140 is an abundant number, since it is smaller than the sum of its proper divisors (2509997340).

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

1221679140 is a wasteful number, since it uses less digits than its factorization.

1221679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851052 (or 1851050 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1221679140 is about 34952.5269472752. The cubic root of 1221679140 is about 1069.0197270039.

It can be divided in two parts, 1221 and 679140, that added together give a triangular number (680361 = T1166).

The spelling of 1221679140 in words is "one billion, two hundred twenty-one million, six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1851029 3702058 5553087 7404116 9255145 11106174 18510290 20361319 22212348 27765435 37020580 40722638 55530870 61083957 81445276 101806595 111061740 122167914 203613190 244335828 305419785 407226380 610839570 1221679140