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212200010988 = 223722387712917
BaseRepresentation
bin1100010110100000011…
…0110011010011101100
3202021201120202110100020
43011220012303103230
511434041200322423
6241252222402140
721221341222110
oct3055006632354
9667646673306
10212200010988
1181aa2413009
1235161430350
1317019a42ca4
14a3b04c5740
1557be5524e3
hex31681b34ec

212200010988 has 96 divisors (see below), whose sum is σ = 569096392704. Its totient is φ = 60283208448.

The previous prime is 212200010987. The next prime is 212200010993. The reversal of 212200010988 is 889010002212.

It is a super-2 number, since 2×2122000109882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212200010987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16421506 + ... + 16434422.

It is an arithmetic number, because the mean of its divisors is an integer number (5928087424).

Almost surely, 2212200010988 is an apocalyptic number.

212200010988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212200010988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284548196352).

212200010988 is an abundant number, since it is smaller than the sum of its proper divisors (356896381716).

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

212200010988 is a wasteful number, since it uses less digits than its factorization.

212200010988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 212200010988 in words is "two hundred twelve billion, two hundred million, ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 877 892 1338 1561 1754 2631 2676 3122 3508 4683 5262 6139 6244 9366 10524 12278 12917 18417 18732 24556 25834 36834 38751 51668 73668 77502 90419 155004 180838 195571 271257 361676 391142 542514 586713 782284 1085028 1173426 1368997 2346852 2737994 2880491 4106991 5475988 5760982 8213982 8641473 11328209 11521964 16427964 17282946 20163437 22656418 33984627 34565892 40326874 45312836 60490311 67969254 79297463 80653748 120980622 135938508 158594926 237892389 241961244 317189852 475784778 951569556 2526190607 5052381214 7578571821 10104762428 15157143642 17683334249 30314287284 35366668498 53050002747 70733336996 106100005494 212200010988