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1072228812 = 2232329313259
BaseRepresentation
bin111111111010001…
…110100111001100
32202201120212102020
4333322032213030
54143442310222
6254221330140
735366536344
oct7772164714
92681525366
101072228812
11500277416
1225b106950
131411a9325
14a258dd24
15641ec65c
hex3fe8e9cc

1072228812 has 48 divisors (see below), whose sum is σ = 2619751680. Its totient is φ = 340677568.

The previous prime is 1072228793. The next prime is 1072228819. The reversal of 1072228812 is 2188222701.

It is a super-2 number, since 2×10722288122 = 2299349250565862688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072228819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74239 + ... + 87497.

It is an arithmetic number, because the mean of its divisors is an integer number (54578160).

Almost surely, 21072228812 is an apocalyptic number.

1072228812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072228812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

1072228812 is an abundant number, since it is smaller than the sum of its proper divisors (1547522868).

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

1072228812 is a wasteful number, since it uses less digits than its factorization.

1072228812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1072228812 is about 32744.9051304169. The cubic root of 1072228812 is about 1023.5188003477.

The spelling of 1072228812 in words is "one billion, seventy-two million, two hundred twenty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 293 586 879 1172 1758 3516 6739 13259 13478 20217 26518 26956 39777 40434 53036 79554 80868 159108 304957 609914 914871 1219828 1829742 3659484 3884887 7769774 11654661 15539548 23309322 46618644 89352401 178704802 268057203 357409604 536114406 1072228812