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80225840 = 2452359739
BaseRepresentation
bin1001100100000…
…10011000110000
312120221220011102
410302002120300
5131014211330
611543303532
71662623402
oct462023060
9176856142
1080225840
1141315952
1222a4aba8
131380c116
14a924b72
15709a945
hex4c82630

80225840 has 80 divisors (see below), whose sum is σ = 198201600. Its totient is φ = 30134016.

The previous prime is 80225837. The next prime is 80225911. The reversal of 80225840 is 4852208.

It is a tau number, because it is divible by the number of its divisors (80).

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, 108191 + ... + 108929.

It is an arithmetic number, because the mean of its divisors is an integer number (2477520).

Almost surely, 280225840 is an apocalyptic number.

80225840 is a gapful number since it is divisible by the number (80) 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 80225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

80225840 is an abundant number, since it is smaller than the sum of its proper divisors (117975760).

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

80225840 is a wasteful number, since it uses less digits than its factorization.

80225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 80225840 is about 8956.8878523737. The cubic root of 80225840 is about 431.2920216701.

The spelling of 80225840 in words is "eighty million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 739 920 944 1180 1357 1478 1840 2360 2714 2956 3695 4720 5428 5912 6785 7390 10856 11824 13570 14780 16997 21712 27140 29560 33994 43601 54280 59120 67988 84985 87202 108560 135976 169970 174404 218005 271952 339940 348808 436010 679880 697616 872020 1002823 1359760 1744040 2005646 3488080 4011292 5014115 8022584 10028230 16045168 20056460 40112920 80225840