Search a number
-
+
212222131002 = 2337323498167
BaseRepresentation
bin1100010110100101101…
…1001011101100111010
3202021210010101021022000
43011221123023230322
511434112331143002
6241254332441430
721222030231000
oct3055133135472
9667703337260
10212222131002
1182003951112
1235168919276
13170214b935b
14a3b3402a70
1557c147161c
hex31696cbb3a

212222131002 has 128 divisors (see below), whose sum is σ = 573889536000. Its totient is φ = 57998478384.

The previous prime is 212222130997. The next prime is 212222131007. The reversal of 212222131002 is 200131222212.

It is an interprime number because it is at equal distance from previous prime (212222130997) and next prime (212222131007).

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

It is not an unprimeable number, because it can be changed into a prime (212222131007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176923 + ... + 675089.

It is an arithmetic number, because the mean of its divisors is an integer number (4483512000).

Almost surely, 2212222131002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286944768000).

212222131002 is an abundant number, since it is smaller than the sum of its proper divisors (361667404998).

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

212222131002 is a wasteful number, since it uses less digits than its factorization.

212222131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498222 (or 498202 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212222131002 its reverse (200131222212), we get a palindrome (412353353214).

The spelling of 212222131002 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 322 343 378 414 441 483 621 686 882 966 1029 1127 1242 1323 1449 2058 2254 2646 2898 3087 3381 4347 6174 6762 7889 8694 9261 10143 15778 18522 20286 23667 30429 47334 60858 71001 142002 213003 426006 498167 996334 1494501 2989002 3487169 4483503 6974338 8967006 10461507 11457841 13450509 20923014 22915682 24410183 26901018 31384521 34373523 48820366 62769042 68747046 73230549 80204887 94153563 103120569 146461098 160409774 170871281 188307126 206241138 219691647 240614661 309361707 341742562 439383294 481229322 512613843 561434209 618723414 659074941 721843983 1025227686 1122868418 1318149882 1443687966 1537841529 1684302627 2165531949 3075683058 3368605254 3930039463 4331063898 4613524587 5052907881 7860078926 9227049174 10105815762 11790118389 15158723643 23580236778 30317447286 35370355167 70740710334 106111065501 212222131002