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210122002220 = 225137179149967
BaseRepresentation
bin1100001110110000111…
…1110100111100101100
3202002100202121200012112
43003230033310330230
511420312213032340
6240310111423152
721116006356364
oct3035417647454
9662322550175
10210122002220
1181126435299
1234881524ab8
1316a783849c0
14a2545219a4
1556ebdd1065
hex30ec3f4f2c

210122002220 has 192 divisors, whose sum is σ = 491774976000. Its totient is φ = 74938106880.

The previous prime is 210122002169. The next prime is 210122002241. The reversal of 210122002220 is 22200221012.

It is a junction number, because it is equal to n+sod(n) for n = 210122002195 and 210122002204.

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, 217292177 + ... + 217293143.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328000).

Almost surely, 2210122002220 is an apocalyptic number.

210122002220 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 210122002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488000).

210122002220 is an abundant number, since it is smaller than the sum of its proper divisors (281652973780).

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

210122002220 is a wasteful number, since it uses less digits than its factorization.

210122002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210122002220 its reverse (22200221012), we get a palindrome (232322223232).

The spelling of 210122002220 in words is "two hundred ten billion, one hundred twenty-two million, two thousand, two hundred twenty".