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212211223020 = 2232529375320731
BaseRepresentation
bin1100010110100011000…
…1100100100111101100
3202021202100212002100200
43011220301210213230
511434102033114040
6241253302553500
721221535430206
oct3055061444754
9667670762320
10212211223020
1181aa8780855
1235165138890
131701c16a424
14a3b1ba3776
1557c0519630
hex3168c649ec

212211223020 has 288 divisors, whose sum is σ = 696839008320. Its totient is φ = 52156016640.

The previous prime is 212211222943. The next prime is 212211223031. The reversal of 212211223020 is 20322112212.

212211223020 is a `hidden beast` number, since 21 + 221 + 122 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212211222984 and 212211223002.

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, 10226055 + ... + 10246785.

It is an arithmetic number, because the mean of its divisors is an integer number (2419579890).

Almost surely, 2212211223020 is an apocalyptic number.

212211223020 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 212211223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348419504160).

212211223020 is an abundant number, since it is smaller than the sum of its proper divisors (484627785300).

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

212211223020 is a wasteful number, since it uses less digits than its factorization.

212211223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20865 (or 20860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212211223020 its reverse (20322112212), we get a palindrome (232533335232).

The spelling of 212211223020 in words is "two hundred twelve billion, two hundred eleven million, two hundred twenty-three thousand, twenty".