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212220233004 = 2231341128925741
BaseRepresentation
bin1100010110100101001…
…1111100010100101100
3202021202222210211201210
43011221103330110230
511434111334424004
6241254224034420
721222005134323
oct3055123742454
9667688724653
10212220233004
118200287511a
1235168162a10
1317020ca3490
14a3b306b0ba
1557c11e9089
hex31694fc52c

212220233004 has 96 divisors (see below), whose sum is σ = 546723011520. Its totient is φ = 63653990400.

The previous prime is 212220233003. The next prime is 212220233009. The reversal of 212220233004 is 400332022212.

212220233004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212220233003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8231574 + ... + 8257314.

It is an arithmetic number, because the mean of its divisors is an integer number (5695031370).

Almost surely, 2212220233004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273361505760).

212220233004 is an abundant number, since it is smaller than the sum of its proper divisors (334502778516).

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

212220233004 is a wasteful number, since it uses less digits than its factorization.

212220233004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27091 (or 27089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212220233004 its reverse (400332022212), we get a palindrome (612552255216).

The spelling of 212220233004 in words is "two hundred twelve billion, two hundred twenty million, two hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1289 1599 2132 2578 3198 3867 5156 6396 7734 15468 16757 25741 33514 50271 51482 52849 67028 77223 100542 102964 105698 154446 158547 201084 211396 308892 317094 334633 634188 669266 687037 1003899 1055381 1338532 1374074 2007798 2061111 2110762 2748148 3166143 4015596 4122222 4221524 6332286 8244444 12664572 13719953 27439906 33180149 41159859 54879812 66360298 82319718 99540447 132720596 164639436 199080894 398161788 431341937 862683874 1294025811 1360386109 1725367748 2588051622 2720772218 4081158327 5176103244 5441544436 8162316654 16324633308 17685019417 35370038834 53055058251 70740077668 106110116502 212220233004