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221002200200 = 23527344933713
BaseRepresentation
bin1100110111010011000…
…0011111010010001000
3210010110000121222222002
43031310300133102020
512110103030401300
6245305500050132
721652432464245
oct3156460372210
9703400558862
10221002200200
11857a9a87051
12369b9233948
1317ac0524582
14a9a75285cc
155b371a85d5
hex3374c1f488

221002200200 has 96 divisors (see below), whose sum is σ = 522044433000. Its totient is φ = 86993141760.

The previous prime is 221002200163. The next prime is 221002200233. The reversal of 221002200200 is 2002200122.

It can be written as a sum of positive squares in 12 ways, for example, as 4176002884 + 216826197316 = 64622^2 + 465646^2 .

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, 6538544 + ... + 6572256.

Almost surely, 2221002200200 is an apocalyptic number.

221002200200 is a gapful number since it is divisible by the number (20) 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 221002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261022216500).

221002200200 is an abundant number, since it is smaller than the sum of its proper divisors (301042232800).

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

221002200200 is a wasteful number, since it uses less digits than its factorization.

221002200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34251 (or 34242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 221002200200 its reverse (2002200122), we get a palindrome (223004400322).

The spelling of 221002200200 in words is "two hundred twenty-one billion, two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 449 584 730 898 1460 1796 1825 2245 2920 3592 3650 4490 7300 8980 11225 14600 17960 22450 32777 33713 44900 65554 67426 89800 131108 134852 163885 168565 262216 269704 327770 337130 655540 674260 819425 842825 1311080 1348520 1638850 1685650 2461049 3277700 3371300 4922098 6555400 6742600 9844196 12305245 15137137 19688392 24610490 30274274 49220980 60548548 61526225 75685685 98441960 121097096 123052450 151371370 246104900 302742740 378428425 492209800 605485480 756856850 1105011001 1513713700 2210022002 3027427400 4420044004 5525055005 8840088008 11050110010 22100220020 27625275025 44200440040 55250550050 110501100100 221002200200