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73220028 = 22377112277
BaseRepresentation
bin1000101110100…
…11111110111100
312002202221222220
410113103332330
5122221020103
611133205340
71546234320
oct427237674
9162687886
1073220028
1138370322
1220630850
131222837b
149a1d980
156664c53
hex45d3fbc

73220028 has 48 divisors (see below), whose sum is σ = 198019584. Its totient is φ = 20623680.

The previous prime is 73220023. The next prime is 73220029. The reversal of 73220028 is 82002237.

It is a super-2 number, since 2×732200282 = 10722345000641568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175 + ... + 12102.

It is an arithmetic number, because the mean of its divisors is an integer number (4125408).

Almost surely, 273220028 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 73220028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99009792).

73220028 is an abundant number, since it is smaller than the sum of its proper divisors (124799556).

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

73220028 is a wasteful number, since it uses less digits than its factorization.

73220028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73220028 is about 8556.8702222249. The cubic root of 73220028 is about 418.3533942045.

The spelling of 73220028 in words is "seventy-three million, two hundred twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 12277 24554 36831 49108 73662 85939 147324 171878 257817 343756 515634 871667 1031268 1743334 2615001 3486668 5230002 6101669 10460004 12203338 18305007 24406676 36610014 73220028