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1004221314 = 23517121547
BaseRepresentation
bin111011110110110…
…011001110000010
32120222121201200000
4323312303032002
54024040040224
6243351540430
733612511635
oct7366631602
92528551600
101004221314
11475947378
1224038a716
131300876c5
1497529c1c
155d2670c9
hex3bdb3382

1004221314 has 48 divisors (see below), whose sum is σ = 2389147488. Its totient is φ = 315047232.

The previous prime is 1004221313. The next prime is 1004221319. The reversal of 1004221314 is 4131224001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1004221313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52512 + ... + 69035.

It is an arithmetic number, because the mean of its divisors is an integer number (49773906).

Almost surely, 21004221314 is an apocalyptic number.

1004221314 is an abundant number, since it is smaller than the sum of its proper divisors (1384926174).

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

1004221314 is a wasteful number, since it uses less digits than its factorization.

1004221314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121581 (or 121569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004221314 is about 31689.4511470300. The cubic root of 1004221314 is about 1001.4051293534.

Adding to 1004221314 its reverse (4131224001), we get a palindrome (5135445315).

The spelling of 1004221314 in words is "one billion, four million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 121547 243094 364641 729282 1093923 2066299 2187846 3281769 4132598 6198897 6563538 9845307 12397794 18596691 19690614 29535921 37193382 55790073 59071842 111580146 167370219 334740438 502110657 1004221314