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212224114104 = 233195317949057
BaseRepresentation
bin1100010110100110001…
…0101111110110111000
3202021210021010000121020
43011221202233312320
511434113333122404
6241254443142440
721222053130432
oct3055142576670
9667707100536
10212224114104
1182004a86042
1235169514a20
1317021a31ba2
14a3b379b652
1557c1713ed9
hex31698afdb8

212224114104 has 128 divisors (see below), whose sum is σ = 572212512000. Its totient is φ = 65384976384.

The previous prime is 212224114103. The next prime is 212224114121. The reversal of 212224114104 is 401411422212.

It is a happy number.

It is a super-2 number, since 2×2122241141042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224114103) 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, 4301544 + ... + 4350600.

It is an arithmetic number, because the mean of its divisors is an integer number (4470410250).

Almost surely, 2212224114104 is an apocalyptic number.

212224114104 is a gapful number since it is divisible by the number (24) 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 212224114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286106256000).

212224114104 is an abundant number, since it is smaller than the sum of its proper divisors (359988397896).

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

212224114104 is a wasteful number, since it uses less digits than its factorization.

212224114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49317 (or 49313 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212224114104 its reverse (401411422212), we get a palindrome (613635536316).

The spelling of 212224114104 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 179 212 228 318 358 424 456 537 636 716 1007 1074 1272 1432 2014 2148 3021 3401 4028 4296 6042 6802 8056 9487 10203 12084 13604 18974 20406 24168 27208 28461 37948 40812 49057 56922 75896 81624 98114 113844 147171 180253 196228 227688 294342 360506 392456 540759 588684 721012 932083 1081518 1177368 1442024 1864166 2163036 2600021 2796249 3728332 4326072 5200042 5592498 7456664 7800063 8781203 10400084 11184996 15600126 17562406 20800168 22369992 26343609 31200252 35124812 49400399 52687218 62400504 70249624 98800798 105374436 148201197 166842857 197601596 210748872 296402394 333685714 395203192 465403759 500528571 592804788 667371428 930807518 1001057142 1185609576 1334742856 1396211277 1861615036 2002114284 2792422554 3723230072 4004228568 5584845108 8842671421 11169690216 17685342842 26528014263 35370685684 53056028526 70741371368 106112057052 212224114104