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211222330020 = 223351379380869
BaseRepresentation
bin1100010010110111010…
…1001111101010100100
3202012012110002010012000
43010231311033222210
511430040404030040
6241011215325300
721155200116222
oct3045565175244
9665173063160
10211222330020
1181640553909
1234b29b20830
1316bc231b940
14a31a707b12
1557637ce130
hex312dd4faa4

211222330020 has 192 divisors, whose sum is σ = 716644992000. Its totient is φ = 51334912512.

The previous prime is 211222329991. The next prime is 211222330037. The reversal of 211222330020 is 20033222112.

It is a super-2 number, since 2×2112223300202 (a number of 23 digits) contains 22 as substring.

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 = 211222329975 and 211222330002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364146 + ... + 745014.

It is an arithmetic number, because the mean of its divisors is an integer number (3732526000).

Almost surely, 2211222330020 is an apocalyptic number.

211222330020 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 211222330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358322496000).

211222330020 is an abundant number, since it is smaller than the sum of its proper divisors (505422661980).

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

211222330020 is a wasteful number, since it uses less digits than its factorization.

211222330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380979 (or 380971 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211222330020 its reverse (20033222112), we get a palindrome (231255552132).

The spelling of 211222330020 in words is "two hundred eleven billion, two hundred twenty-two million, three hundred thirty thousand, twenty".