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1220066496 = 26331164187
BaseRepresentation
bin100100010111000…
…1011110011000000
310011000202210121000
41020232023303000
54444314111441
6321022132000
742143252115
oct11056136300
93130683530
101220066496
11576772020
122a0721000
131659cbc4c
14b807490c
15721a12b6
hex48b8bcc0

1220066496 has 112 divisors (see below), whose sum is σ = 3912900480. Its totient is φ = 369711360.

The previous prime is 1220066459. The next prime is 1220066509. The reversal of 1220066496 is 6946600221.

1220066496 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 6 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1220066496.

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 15 ways as a sum of consecutive naturals, for example, 13086 + ... + 51101.

Almost surely, 21220066496 is an apocalyptic number.

1220066496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1220066496 is an abundant number, since it is smaller than the sum of its proper divisors (2692833984).

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

1220066496 is a wasteful number, since it uses less digits than its factorization.

1220066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64219 (or 64203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1220066496 is about 34929.4502676466. The cubic root of 1220066496 is about 1068.5491431713.

The spelling of 1220066496 in words is "one billion, two hundred twenty million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 64187 128374 192561 256748 385122 513496 577683 706057 770244 1026992 1155366 1412114 1540488 1733049 2053984 2118171 2310732 2824228 3080976 3466098 4107968 4236342 4621464 5648456 6161952 6354513 6932196 8472684 9242928 11296912 12323904 12709026 13864392 16945368 18485856 19063539 22593824 25418052 27728784 33890736 36971712 38127078 45187648 50836104 55457568 67781472 76254156 101672208 110915136 135562944 152508312 203344416 305016624 406688832 610033248 1220066496