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212230010322 = 232112936960991
BaseRepresentation
bin1100010110100111100…
…1001111010111010010
3202021210200012120200200
43011221321033113102
511434121340312242
6241255213400030
721222154215531
oct3055171172722
9667720176620
10212230010322
1182008342a50
123516b499016
1317023017885
14a3b4494318
1557c1ecb04c
hex3169e4f5d2

212230010322 has 48 divisors (see below), whose sum is σ = 518932327680. Its totient is φ = 62094463200.

The previous prime is 212230010303. The next prime is 212230010339. The reversal of 212230010322 is 223010032212.

212230010322 is a `hidden beast` number, since 21 + 22 + 300 + 1 + 0 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212230010295 and 212230010304.

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, 18474754 + ... + 18486237.

It is an arithmetic number, because the mean of its divisors is an integer number (10811090160).

Almost surely, 2212230010322 is an apocalyptic number.

212230010322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212230010322 is an abundant number, since it is smaller than the sum of its proper divisors (306702317358).

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

212230010322 is a wasteful number, since it uses less digits than its factorization.

212230010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36961039 (or 36961036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212230010322 its reverse (223010032212), we get a palindrome (435240042534).

The spelling of 212230010322 in words is "two hundred twelve billion, two hundred thirty million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 36960991 73921982 110882973 221765946 332648919 406570901 665297838 813141802 1071868739 1219712703 2143737478 2439425406 3215606217 3659138109 6431212434 7318276218 9646818651 11790556129 19293637302 23581112258 35371668387 70743336774 106115005161 212230010322