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80222832 = 2433233797
BaseRepresentation
bin1001100100000…
…01101001110000
312120221202001000
410302001221300
5131014112312
611543242000
71662611544
oct462015160
9176852030
1080222832
1141313668
1222a49300
131380a941
14a923a24
157099adc
hex4c81a70

80222832 has 80 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 26592768.

The previous prime is 80222809. The next prime is 80222851. The reversal of 80222832 is 23822208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80222796 and 80222805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100258 + ... + 101054.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 280222832 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 80222832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

80222832 is an abundant number, since it is smaller than the sum of its proper divisors (151324848).

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

80222832 is a wasteful number, since it uses less digits than its factorization.

80222832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80222832 is about 8956.7199353335. The cubic root of 80222832 is about 431.2866312929.

The spelling of 80222832 in words is "eighty million, two hundred twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 797 932 1398 1594 1864 2097 2391 2796 3188 3728 4194 4782 5592 6291 6376 7173 8388 9564 11184 12582 12752 14346 16776 19128 21519 25164 28692 33552 38256 43038 50328 57384 86076 100656 114768 172152 185701 344304 371402 557103 742804 1114206 1485608 1671309 2228412 2971216 3342618 4456824 5013927 6685236 8913648 10027854 13370472 20055708 26740944 40111416 80222832