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212240020520 = 235111521731699
BaseRepresentation
bin1100010110101001111…
…1011011010000101000
3202021211101001011002202
43011222133123100220
511434131421124040
6241300212115332
721222335260013
oct3055237332050
9667741034082
10212240020520
1182012a5a840
1235172905b48
1317025110c78
14a3b593c37a
1557c2d07015
hex316a7db428

212240020520 has 64 divisors (see below), whose sum is σ = 521003448000. Its totient is φ = 77170682880.

The previous prime is 212240020507. The next prime is 212240020529. The reversal of 212240020520 is 25020042212.

212240020520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212240020492 and 212240020501.

It is not an unprimeable number, because it can be changed into a prime (212240020529) 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 15 ways as a sum of consecutive naturals, for example, 6679631 + ... + 6711329.

It is an arithmetic number, because the mean of its divisors is an integer number (8140678875).

Almost surely, 2212240020520 is an apocalyptic number.

212240020520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212240020520 is an abundant number, since it is smaller than the sum of its proper divisors (308763427480).

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

212240020520 is a wasteful number, since it uses less digits than its factorization.

212240020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46938 (or 46934 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 212240020520 its reverse (25020042212), we get a palindrome (237260062732).

The spelling of 212240020520 in words is "two hundred twelve billion, two hundred forty million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 15217 30434 31699 60868 63398 76085 121736 126796 152170 158495 167387 253592 304340 316990 334774 348689 608680 633980 669548 697378 836935 1267960 1339096 1394756 1673870 1743445 2789512 3347740 3486890 6695480 6973780 13947560 482363683 964727366 1929454732 2411818415 3858909464 4823636830 5306000513 9647273660 10612001026 19294547320 21224002052 26530002565 42448004104 53060005130 106120010260 212240020520