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1221310240 = 25570110889
BaseRepresentation
bin100100011001011…
…1011011100100000
310011010002222200121
41020302323130200
510000123411430
6321104530024
742156652153
oct11062733440
93133088617
101221310240
11577441507
122a1020914
131660460a7
14b82b9c9a
1572349a7a
hex48cbb720

1221310240 has 48 divisors (see below), whose sum is σ = 2889726840. Its totient is φ = 487782400.

The previous prime is 1221310199. The next prime is 1221310241. The reversal of 1221310240 is 420131221.

It can be written as a sum of positive squares in 4 ways, for example, as 870722064 + 350588176 = 29508^2 + 18724^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1221310241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106716 + ... + 117604.

Almost surely, 21221310240 is an apocalyptic number.

1221310240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221310240 is an abundant number, since it is smaller than the sum of its proper divisors (1668416600).

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

1221310240 is a wasteful number, since it uses less digits than its factorization.

1221310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221310240 is about 34947.2493910465. The cubic root of 1221310240 is about 1068.9121152573.

Adding to 1221310240 its reverse (420131221), we get a palindrome (1641441461).

The spelling of 1221310240 in words is "one billion, two hundred twenty-one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 701 1402 2804 3505 5608 7010 10889 11216 14020 21778 22432 28040 43556 54445 56080 87112 108890 112160 174224 217780 348448 435560 871120 1742240 7633189 15266378 30532756 38165945 61065512 76331890 122131024 152663780 244262048 305327560 610655120 1221310240