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1220445306 = 23419139443
BaseRepresentation
bin100100010111110…
…1000010001111010
310011001111001020000
41020233220101322
54444413222211
6321034213430
742146420403
oct11057502172
93131431200
101220445306
11576a00693
122a0884276
13165b024b2
14b81329aa
1572228656
hex48be847a

1220445306 has 40 divisors (see below), whose sum is σ = 2749089024. Its totient is φ = 404674920.

The previous prime is 1220445301. The next prime is 1220445323. The reversal of 1220445306 is 6035440221.

1220445306 is a `hidden beast` number, since 1 + 2 + 204 + 453 + 0 + 6 = 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 1220445306.

It is not an unprimeable number, because it can be changed into a prime (1220445301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11221 + ... + 50663.

Almost surely, 21220445306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220445306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374544512).

1220445306 is an abundant number, since it is smaller than the sum of its proper divisors (1528643718).

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

1220445306 is a wasteful number, since it uses less digits than its factorization.

1220445306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39648 (or 39639 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1220445306 is about 34934.8723484143. The cubic root of 1220445306 is about 1068.6597205366.

Adding to 1220445306 its reverse (6035440221), we get a palindrome (7255885527).

The spelling of 1220445306 in words is "one billion, two hundred twenty million, four hundred forty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 382 573 1146 1719 3438 5157 10314 15471 30942 39443 78886 118329 236658 354987 709974 1064961 2129922 3194883 6389766 7533613 15067226 22600839 45201678 67802517 135605034 203407551 406815102 610222653 1220445306