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2302120212 = 2237171938353
BaseRepresentation
bin1000100100110111…
…1001000100010100
312221102211211020120
42021031321010110
514203320321322
61020234231540
7111022461510
oct21115710424
95842754216
102302120212
11a81539a97
12542b855b0
132a8c38212
1417ba61140
15d718ea5c
hex89379114

2302120212 has 96 divisors (see below), whose sum is σ = 6534565632. Its totient is φ = 615776256.

The previous prime is 2302120187. The next prime is 2302120307. The reversal of 2302120212 is 2120212032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2302120191 and 2302120200.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 271428 + ... + 279780.

It is an arithmetic number, because the mean of its divisors is an integer number (68068392).

Almost surely, 22302120212 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 2302120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267282816).

2302120212 is an abundant number, since it is smaller than the sum of its proper divisors (4232445420).

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

2302120212 is a wasteful number, since it uses less digits than its factorization.

2302120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8577 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2302120212 is about 47980.4148794068. The cubic root of 2302120212 is about 1320.4116048808.

Adding to 2302120212 its reverse (2120212032), we get a palindrome (4422332244).

The spelling of 2302120212 in words is "two billion, three hundred two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 193 204 238 357 386 476 579 714 772 1158 1351 1428 2316 2702 3281 4053 5404 6562 8106 8353 9843 13124 16212 16706 19686 22967 25059 33412 39372 45934 50118 58471 68901 91868 100236 116942 137802 142001 175413 233884 275604 284002 350826 426003 568004 701652 852006 994007 1612129 1704012 1988014 2982021 3224258 3976028 4836387 5964042 6448516 9672774 11284903 11928084 19345548 22569806 27406193 33854709 45139612 54812386 67709418 82218579 109624772 135418836 164437158 191843351 328874316 383686702 575530053 767373404 1151060106 2302120212