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1220527116 = 22344398581
BaseRepresentation
bin100100010111111…
…1100010000001100
310011001122012110000
41020233330100030
54444423331431
6321040044300
742150211044
oct11057742014
93131565400
101220527116
11576a570a6
122a0903690
13165b307c3
14b8154724
15722429e6
hex48bfc40c

1220527116 has 60 divisors (see below), whose sum is σ = 3198339760. Its totient is φ = 405868320.

The previous prime is 1220527097. The next prime is 1220527163. The reversal of 1220527116 is 6117250221.

1220527116 is a `hidden beast` number, since 1 + 2 + 20 + 527 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1220527116.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137946 + ... + 146526.

Almost surely, 21220527116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220527116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599169880).

1220527116 is an abundant number, since it is smaller than the sum of its proper divisors (1977812644).

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

1220527116 is a wasteful number, since it uses less digits than its factorization.

1220527116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1220527116 is about 34936.0432218647. The cubic root of 1220527116 is about 1068.6835984600.

Adding to 1220527116 its reverse (6117250221), we get a palindrome (7337777337).

The spelling of 1220527116 in words is "one billion, two hundred twenty million, five hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 439 878 1317 1756 2634 3951 5268 7902 8581 11853 15804 17162 23706 25743 34324 35559 47412 51486 71118 77229 102972 142236 154458 231687 308916 463374 695061 926748 1390122 2780244 3767059 7534118 11301177 15068236 22602354 33903531 45204708 67807062 101710593 135614124 203421186 305131779 406842372 610263558 1220527116