Search a number
-
+
2302002012 = 22323833172
BaseRepresentation
bin1000100100110101…
…1100001101011100
312221102121211002210
42021031130031130
514203303031022
61020231520420
7111021460062
oct21115341534
95842554083
102302002012
11a81469202
12542b29110
132a8bc648b
1417ba30032
15d7169a0c
hex8935c35c

2302002012 has 72 divisors (see below), whose sum is σ = 5690353536. Its totient is φ = 722841152.

The previous prime is 2302001993. The next prime is 2302002047. The reversal of 2302002012 is 2102002032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7261678 + ... + 7261994.

It is an arithmetic number, because the mean of its divisors is an integer number (79032688).

Almost surely, 22302002012 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 2302002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845176768).

2302002012 is an abundant number, since it is smaller than the sum of its proper divisors (3388351524).

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

2302002012 is a wasteful number, since it uses less digits than its factorization.

2302002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2302002012 is about 47979.1831110118. The cubic root of 2302002012 is about 1320.3890061010.

Adding to 2302002012 its reverse (2102002032), we get a palindrome (4404004044).

The spelling of 2302002012 in words is "two billion, three hundred two million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 317 332 498 634 951 996 1268 1902 1909 3804 3818 5727 7291 7636 11454 14582 21873 22908 26311 29164 43746 52622 78933 87492 100489 105244 157866 200978 301467 315732 401956 602934 605153 1205868 1210306 1815459 2311247 2420612 3630918 4622494 6933741 7261836 8340587 9244988 13867482 16681174 25021761 27734964 33362348 50043522 100087044 191833501 383667002 575500503 767334004 1151001006 2302002012