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2221700481 = 347112134753
BaseRepresentation
bin1000010001101100…
…0111010110000001
312201211112002010000
42010123013112001
514022223403411
61004242430213
7106025066610
oct20433072601
95654462100
102221700481
11a40101500
12520062369
1329538ba90
141710c9877
15d00a6956
hex846c7581

2221700481 has 240 divisors, whose sum is σ = 4671862272. Its totient is φ = 1023010560.

The previous prime is 2221700477. The next prime is 2221700549. The reversal of 2221700481 is 1840071222.

It is not a de Polignac number, because 2221700481 - 22 = 2221700477 is a prime.

It is a super-2 number, since 2×22217004812 = 9871906054551262722, which contains 22 as substring.

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

Together with 2450161791 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (2221700431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41918851 + ... + 41918903.

Almost surely, 22221700481 is an apocalyptic number.

2221700481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221700481 is an abundant number, since it is smaller than the sum of its proper divisors (2450161791).

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

2221700481 is a wasteful number, since it uses less digits than its factorization.

2221700481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2221700481 is about 47134.9178529039. The cubic root of 2221700481 is about 1304.8537450046.

The spelling of 2221700481 in words is "two billion, two hundred twenty-one million, seven hundred thousand, four hundred eighty-one".