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21223322200 = 23521931972791
BaseRepresentation
bin10011110001000000…
…100011001001011000
32000210002102110211101
4103301000203021120
5321431132302300
613425545241144
71350635155633
oct236100431130
960702373741
1021223322200
119001015103
1241437931b4
132002c76722
141054966c1a
15843361b6a
hex4f1023258

21223322200 has 96 divisors (see below), whose sum is σ = 49869531360. Its totient is φ = 8399462400.

The previous prime is 21223322161. The next prime is 21223322249. The reversal of 21223322200 is 222332212.

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 23 ways as a sum of consecutive naturals, for example, 7602805 + ... + 7605595.

It is an arithmetic number, because the mean of its divisors is an integer number (519474285).

Almost surely, 221223322200 is an apocalyptic number.

21223322200 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 21223322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934765680).

21223322200 is an abundant number, since it is smaller than the sum of its proper divisors (28646209160).

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

21223322200 is a wasteful number, since it uses less digits than its factorization.

21223322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 21223322200 its reverse (222332212), we get a palindrome (21445654412).

The spelling of 21223322200 in words is "twenty-one billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 197 200 386 394 772 788 965 985 1544 1576 1930 1970 2791 3860 3940 4825 4925 5582 7720 7880 9650 9850 11164 13955 19300 19700 22328 27910 38021 38600 39400 55820 69775 76042 111640 139550 152084 190105 279100 304168 380210 538663 549827 558200 760420 950525 1077326 1099654 1520840 1901050 2154652 2199308 2693315 2749135 3802100 4309304 4398616 5386630 5498270 7604200 10773260 10996540 13466575 13745675 21546520 21993080 26933150 27491350 53866300 54982700 106116611 107732600 109965400 212233222 424466444 530583055 848932888 1061166110 2122332220 2652915275 4244664440 5305830550 10611661100 21223322200