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80229834 = 23217299041
BaseRepresentation
bin1001100100000…
…11010111001010
312120222002122100
410302003113022
5131014323314
611543334230
71662641136
oct462032712
9176862570
1080229834
1141318953
1222a51376
1313810b99
14a9263c6
15709bc09
hex4c835ca

80229834 has 48 divisors (see below), whose sum is σ = 190424520. Its totient is φ = 24299520.

The previous prime is 80229781. The next prime is 80229859. The reversal of 80229834 is 43892208.

It can be written as a sum of positive squares in 4 ways, for example, as 79121025 + 1108809 = 8895^2 + 1053^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4354 + ... + 13394.

Almost surely, 280229834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80229834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95212260).

80229834 is an abundant number, since it is smaller than the sum of its proper divisors (110194686).

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

80229834 is a wasteful number, since it uses less digits than its factorization.

80229834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9095 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80229834 is about 8957.1108065045. The cubic root of 80229834 is about 431.2991787646.

The spelling of 80229834 in words is "eighty million, two hundred twenty-nine thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 9041 18082 27123 54246 81369 153697 162738 262189 307394 461091 524378 786567 922182 1383273 1573134 2359701 2766546 4457213 4719402 8914426 13371639 26743278 40114917 80229834