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2012202304 = 2674619743
BaseRepresentation
bin111011111101111…
…1100010101000000
312012020022110122021
41313323330111000
513110110433204
6531400251224
7100602303010
oct16773742500
95166273567
102012202304
11942921412
12481a70b14
13260b5a468
14151353c40
15bb9c3154
hex77efc540

2012202304 has 56 divisors (see below), whose sum is σ = 4573755648. Its totient is φ = 860413440.

The previous prime is 2012202301. The next prime is 2012202307. The reversal of 2012202304 is 4032022102.

It is an interprime number because it is at equal distance from previous prime (2012202301) and next prime (2012202307).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×20122023042 = 8097916224445816832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012202301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201657 + ... + 211399.

It is an arithmetic number, because the mean of its divisors is an integer number (81674208).

Almost surely, 22012202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286877824).

2012202304 is an abundant number, since it is smaller than the sum of its proper divisors (2561553344).

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

2012202304 is an equidigital number, since it uses as much as digits as its factorization.

2012202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2012202304 is about 44857.5779997093. The cubic root of 2012202304 is about 1262.4781797229.

Adding to 2012202304 its reverse (4032022102), we get a palindrome (6044224406).

The spelling of 2012202304 in words is "two billion, twelve million, two hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 461 922 1844 3227 3688 6454 7376 9743 12908 14752 19486 25816 29504 38972 51632 68201 77944 103264 136402 155888 206528 272804 311776 545608 623552 1091216 2182432 4364864 4491523 8983046 17966092 31440661 35932184 62881322 71864368 125762644 143728736 251525288 287457472 503050576 1006101152 2012202304