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1780227072 = 21034132127
BaseRepresentation
bin110101000011100…
…0001110000000000
311121001210220110000
41222013001300000
512121214231242
6452352240000
762054452251
oct15207016000
94531726400
101780227072
11833989a48
12418240000
13224a89100
1412c60ab28
15a644ea4c
hex6a1c1c00

1780227072 has 330 divisors, whose sum is σ = 5801820288. Its totient is φ = 543449088.

The previous prime is 1780227061. The next prime is 1780227083. The reversal of 1780227072 is 2707220871.

It is an interprime number because it is at equal distance from previous prime (1780227061) and next prime (1780227083).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14017473 + ... + 14017599.

Almost surely, 21780227072 is an apocalyptic number.

1780227072 is a gapful number since it is divisible by the number (12) 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 1780227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900910144).

1780227072 is an abundant number, since it is smaller than the sum of its proper divisors (4021593216).

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

1780227072 is a wasteful number, since it uses less digits than its factorization.

1780227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 1780227072 is about 42192.7371949249. The cubic root of 1780227072 is about 1211.9698061295.

The spelling of 1780227072 in words is "one billion, seven hundred eighty million, two hundred twenty-seven thousand, seventy-two".