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1220033412 = 2232133770457
BaseRepresentation
bin100100010111000…
…0011101110000100
310011000201010012200
41020232003232010
54444312032122
6321021314500
742143053503
oct11056035604
93130633180
101220033412
1157674a184
122a0705a30
131659b9b80
14b806683a
15721965ac
hex48b83b84

1220033412 has 72 divisors (see below), whose sum is σ = 3411012696. Its totient is φ = 365243904.

The previous prime is 1220033383. The next prime is 1220033417. The reversal of 1220033412 is 2143300221.

1220033412 is a `hidden beast` number, since 1 + 220 + 0 + 33 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 1212710976 = 2706^2 + 34824^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1220033417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17913 + ... + 52544.

Almost surely, 21220033412 is an apocalyptic number.

1220033412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220033412 is an abundant number, since it is smaller than the sum of its proper divisors (2190979284).

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

1220033412 is a wasteful number, since it uses less digits than its factorization.

1220033412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70517 (or 70512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1220033412 is about 34928.9766812599. The cubic root of 1220033412 is about 1068.5394846269.

Adding to 1220033412 its reverse (2143300221), we get a palindrome (3363333633).

The spelling of 1220033412 in words is "one billion, two hundred twenty million, thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 70457 140914 211371 281828 422742 634113 845484 915941 1268226 1831882 2536452 2606909 2747823 3663764 5213818 5495646 7820727 8243469 10427636 10991292 15641454 16486938 23462181 31282908 32973876 33889817 46924362 67779634 93848724 101669451 135559268 203338902 305008353 406677804 610016706 1220033412