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212230132544 = 2619216975413
BaseRepresentation
bin1100010110100111100…
…1101101001101000000
3202021210200102210100102
43011221321231031000
511434121403220134
6241255220141532
721222155235053
oct3055171551500
9667720383312
10212230132544
1182008416861
123516b5378a8
131702305b3b1
14a3b44c6a9a
1557c200237e
hex3169e6d340

212230132544 has 84 divisors (see below), whose sum is σ = 444820336164. Its totient is φ = 100452261888.

The previous prime is 212230132537. The next prime is 212230132547. The reversal of 212230132544 is 445231032212.

It can be written as a sum of positive squares in 2 ways, for example, as 136539118144 + 75691014400 = 369512^2 + 275120^2 .

It is a super-4 number, since 4×2122301325444 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230132547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39204782 + ... + 39210194.

Almost surely, 2212230132544 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 212230132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222410168082).

212230132544 is an abundant number, since it is smaller than the sum of its proper divisors (232590203620).

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

212230132544 is a wasteful number, since it uses less digits than its factorization.

212230132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 212230132544 its reverse (445231032212), we get a palindrome (657461164756).

The spelling of 212230132544 in words is "two hundred twelve billion, two hundred thirty million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 1697 2888 3394 5413 5776 6788 10826 11552 13576 21652 23104 27152 32243 43304 54304 64486 86608 102847 108608 128972 173216 205694 257944 346432 411388 515888 612617 822776 1031776 1225234 1645552 1954093 2063552 2450468 3291104 3908186 4900936 6582208 7816372 9185861 9801872 15632744 18371722 19603744 31265488 36743444 39207488 62530976 73486888 125061952 146973776 174531359 293947552 349062718 587895104 698125436 1396250872 2792501744 3316095821 5585003488 6632191642 11170006976 13264383284 26528766568 53057533136 106115066272 212230132544