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1221514016 = 259724057
BaseRepresentation
bin100100011001110…
…1101001100100000
310011010111100012212
41020303231030200
510000201422031
6321113141252
742161461232
oct11063551440
93133440185
101221514016
11577570618
122a10ba828
131660b7a78
14b8330252
157238a12b
hex48ced320

1221514016 has 36 divisors (see below), whose sum is σ = 2430502578. Its totient is φ = 604311552.

The previous prime is 1221513991. The next prime is 1221514027. The reversal of 1221514016 is 6104151221.

It can be written as a sum of positive squares in 3 ways, for example, as 1002355600 + 219158416 = 31660^2 + 14804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221513982 and 1221514000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299060 + ... + 303116.

Almost surely, 21221514016 is an apocalyptic number.

1221514016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1221514016 is a deficient number, since it is larger than the sum of its proper divisors (1208988562).

1221514016 is an frugal number, since it uses more digits than its factorization.

1221514016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1221514016 is about 34950.1647492540. The cubic root of 1221514016 is about 1068.9715613928.

Adding to 1221514016 its reverse (6104151221), we get a palindrome (7325665237).

The spelling of 1221514016 in words is "one billion, two hundred twenty-one million, five hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 97 194 388 776 1552 3104 4057 8114 9409 16228 18818 32456 37636 64912 75272 129824 150544 301088 393529 787058 1574116 3148232 6296464 12592928 38172313 76344626 152689252 305378504 610757008 1221514016