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212150235040 = 2553373934537
BaseRepresentation
bin1100010110010100100…
…0111010111110100000
3202021121010002120120121
43011211020322332200
511433440430010130
6241243243450024
721220165146532
oct3054510727640
9667533076517
10212150235040
1181a77305667
1235148826914
131700c635873
14a3a7a49852
1557b9ebdd7a
hex316523afa0

212150235040 has 48 divisors (see below), whose sum is σ = 502692313032. Its totient is φ = 84608262144.

The previous prime is 212150235029. The next prime is 212150235041. The reversal of 212150235040 is 40532051212.

212150235040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122435608464 + 89714626576 = 349908^2 + 299524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212150234996 and 212150235014.

It is not an unprimeable number, because it can be changed into a prime (212150235041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1913349 + ... + 2021188.

Almost surely, 2212150235040 is an apocalyptic number.

212150235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212150235040 is an abundant number, since it is smaller than the sum of its proper divisors (290542077992).

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

212150235040 is a wasteful number, since it uses less digits than its factorization.

212150235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934889 (or 3934881 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 212150235040 its reverse (40532051212), we get a palindrome (252682286252).

The spelling of 212150235040 in words is "two hundred twelve billion, one hundred fifty million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 5392 6740 10784 13480 26960 53920 3934537 7869074 15738148 19672685 31476296 39345370 62952592 78690740 125905184 157381480 314762960 629525920 1325938969 2651877938 5303755876 6629694845 10607511752 13259389690 21215023504 26518779380 42430047008 53037558760 106075117520 212150235040