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220013000988 = 223113761738487
BaseRepresentation
bin1100110011100111001…
…0111111100100011100
3210000220002021110202020
43030321302333210130
512101041312012423
6245023402100140
721616061436444
oct3147162774434
9700802243666
10220013000988
1185341670040
1236781aaa650
13179935c95b1
14a911dcd124
155aca40c4e3
hex3339cbf91c

220013000988 has 96 divisors (see below), whose sum is σ = 584598916608. Its totient is φ = 63805190400.

The previous prime is 220013000983. The next prime is 220013001041. The reversal of 220013000988 is 889000310022.

It is a super-2 number, since 2×2200130009882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220013000983) 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, 71320 + ... + 667167.

It is an arithmetic number, because the mean of its divisors is an integer number (6089572048).

Almost surely, 2220013000988 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 220013000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292299458304).

220013000988 is an abundant number, since it is smaller than the sum of its proper divisors (364585915620).

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

220013000988 is a wasteful number, since it uses less digits than its factorization.

220013000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738603 (or 738601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 220013000988 in words is "two hundred twenty billion, thirteen million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 37 44 61 66 74 111 122 132 148 183 222 244 366 407 444 671 732 814 1221 1342 1628 2013 2257 2442 2684 4026 4514 4884 6771 8052 9028 13542 24827 27084 49654 74481 99308 148962 297924 738487 1476974 2215461 2953948 4430922 8123357 8861844 16246714 24370071 27324019 32493428 45047707 48740142 54648038 81972057 90095414 97480284 109296076 135143121 163944114 180190828 270286242 300564209 327888228 495524777 540572484 601128418 901692627 991049554 1202256836 1486574331 1666765159 1803385254 1982099108 2973148662 3333530318 3606770508 5000295477 5946297324 6667060636 10000590954 18334416749 20001181908 36668833498 55003250247 73337666996 110006500494 220013000988