Search a number
-
+
2300020212 = 22372107139263
BaseRepresentation
bin1000100100010111…
…1000010111110100
312221021220010120210
42021011320113310
514202301121322
61020121225420
7110665564200
oct21105702764
95837803523
102300020212
11a80335256
12542332270
132a8681409
1417b675b00
15d6dc770c
hex891785f4

2300020212 has 144 divisors (see below), whose sum is σ = 6370721280. Its totient is φ = 643866048.

The previous prime is 2300020211. The next prime is 2300020223. The reversal of 2300020212 is 2120200032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300020211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8745193 + ... + 8745455.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 22300020212 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 2300020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185360640).

2300020212 is an abundant number, since it is smaller than the sum of its proper divisors (4070701068).

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

2300020212 is a wasteful number, since it uses less digits than its factorization.

2300020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

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

The square root of 2300020212 is about 47958.5259573311. The cubic root of 2300020212 is about 1320.0099884460.

Adding to 2300020212 its reverse (2120200032), we get a palindrome (4420220244).

The spelling of 2300020212 in words is "two billion, three hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 139 147 196 214 263 278 294 321 417 428 526 556 588 642 749 789 834 973 1052 1284 1498 1578 1668 1841 1946 2247 2919 2996 3156 3682 3892 4494 5243 5523 5838 6811 7364 8988 10486 11046 11676 12887 13622 14873 15729 20433 20972 22092 25774 27244 28141 29746 31458 36557 38661 40866 44619 51548 56282 59492 62916 73114 77322 81732 84423 89238 104111 109671 112564 146228 154644 168846 178476 196987 208222 219342 255899 312333 337692 393974 416444 438684 511798 590961 624666 728777 767697 787948 1023596 1181922 1249332 1378909 1457554 1535394 1791293 2186331 2363844 2757818 2915108 3070788 3582586 3911599 4136727 4372662 5373879 5515636 7165172 7823198 8273454 8745324 10747758 11734797 15646396 16546908 21495516 23469594 27381193 46939188 54762386 82143579 109524772 164287158 191668351 328574316 383336702 575005053 766673404 1150010106 2300020212