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77223020 = 2257311257
BaseRepresentation
bin1001001101001…
…01010001101100
312101022100001212
410212211101230
5124232114040
611355053552
71625246000
oct446452154
9171270055
1077223020
113a654886
1221a412b8
1312cca3c4
14a382700
156ba5d65
hex49a546c

77223020 has 48 divisors (see below), whose sum is σ = 189134400. Its totient is φ = 26474112.

The previous prime is 77223017. The next prime is 77223023. The reversal of 77223020 is 2032277.

It is an interprime number because it is at equal distance from previous prime (77223017) and next prime (77223023).

It is not an unprimeable number, because it can be changed into a prime (77223023) 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, 1232 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (3940300).

Almost surely, 277223020 is an apocalyptic number.

77223020 is a gapful number since it is divisible by the number (70) 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 77223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94567200).

77223020 is an abundant number, since it is smaller than the sum of its proper divisors (111911380).

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

77223020 is a wasteful number, since it uses less digits than its factorization.

77223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11287 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 77223020 is about 8787.6629430128. The cubic root of 77223020 is about 425.8424259438.

Adding to 77223020 its reverse (2032277), we get a palindrome (79255297).

The spelling of 77223020 in words is "seventy-seven million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 11257 22514 45028 56285 78799 112570 157598 225140 315196 393995 551593 787990 1103186 1575980 2206372 2757965 3861151 5515930 7722302 11031860 15444604 19305755 38611510 77223020