Search a number
-
+
212022122200 = 235275383173199
BaseRepresentation
bin1100010101110110000…
…0001101011011011000
3202021021012000202210121
43011131200031123120
511433210130402300
6241222425523024
721214051205650
oct3053540153330
9667235022717
10212022122200
1181a10a62589
1235111943474
1316cbbc2b055
14a394a1b360
1557adb1481a
hex315d80d6d8

212022122200 has 384 divisors, whose sum is σ = 587212416000. Its totient is φ = 69703096320.

The previous prime is 212022122171. The next prime is 212022122237. The reversal of 212022122200 is 2221220212.

It is a super-3 number, since 3×2120221222003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1065437701 + ... + 1065437899.

It is an arithmetic number, because the mean of its divisors is an integer number (1529199000).

Almost surely, 2212022122200 is an apocalyptic number.

212022122200 is a gapful number since it is divisible by the number (20) 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 212022122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293606208000).

212022122200 is an abundant number, since it is smaller than the sum of its proper divisors (375190293800).

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

212022122200 is a wasteful number, since it uses less digits than its factorization.

212022122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212022122200 its reverse (2221220212), we get a palindrome (214243342412).

The spelling of 212022122200 in words is "two hundred twelve billion, twenty-two million, one hundred twenty-two thousand, two hundred".