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212211380 = 22519797069
BaseRepresentation
bin11001010011000…
…01011010110100
3112210022110021202
430221201122310
5413311231010
633020232032
75154524033
oct1451413264
9483273252
10212211380
11a9873607
125b09b618
1334c71584
142028071a
151396c6a5
hexca616b4

212211380 has 48 divisors (see below), whose sum is σ = 475104000. Its totient is φ = 79387776.

The previous prime is 212211371. The next prime is 212211397. The reversal of 212211380 is 83112212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26486 + ... + 33554.

It is an arithmetic number, because the mean of its divisors is an integer number (9898000).

Almost surely, 2212211380 is an apocalyptic number.

212211380 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 212211380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237552000).

212211380 is an abundant number, since it is smaller than the sum of its proper divisors (262892620).

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

212211380 is a wasteful number, since it uses less digits than its factorization.

212211380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 212211380 is about 14567.4767890668. The cubic root of 212211380 is about 596.4713064045.

Adding to 212211380 its reverse (83112212), we get a palindrome (295323592).

The spelling of 212211380 in words is "two hundred twelve million, two hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 6004 7069 7505 14138 15010 28276 30020 35345 70690 134311 141380 268622 537244 558451 671555 1116902 1343110 2233804 2686220 2792255 5584510 10610569 11169020 21221138 42442276 53052845 106105690 212211380