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81223032 = 23311359857
BaseRepresentation
bin1001101011101…
…01110101111000
312122211120001110
410311311311320
5131243114112
612020520320
72004245562
oct465656570
9178746043
1081223032
1141937080
12232500a0
1313a9ac87
14ab04332
1571e613c
hex4d75d78

81223032 has 64 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 24515840.

The previous prime is 81223031. The next prime is 81223049. The reversal of 81223032 is 23032218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81223031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94348 + ... + 95204.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 281223032 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 81223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

81223032 is an abundant number, since it is smaller than the sum of its proper divisors (141170568).

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

81223032 is a wasteful number, since it uses less digits than its factorization.

81223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 81223032 is about 9012.3821490214. The cubic root of 81223032 is about 433.0716279089.

The spelling of 81223032 in words is "eighty-one million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 359 718 857 1077 1436 1714 2154 2571 2872 3428 3949 4308 5142 6856 7898 8616 9427 10284 11847 15796 18854 20568 23694 28281 31592 37708 47388 56562 75416 94776 113124 226248 307663 615326 922989 1230652 1845978 2461304 3384293 3691956 6768586 7383912 10152879 13537172 20305758 27074344 40611516 81223032