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232122020220 = 223356127126003
BaseRepresentation
bin1101100000101110001…
…1001111000101111100
3211012010222112101101000
43120023203033011330
512300341214121340
6254345124250300
722525125421506
oct3301343170574
9735128471330
10232122020220
118a495913452
1238ba1240990
1318b73211c2c
14b3402a8d76
156088514d30
hex360b8cf17c

232122020220 has 192 divisors, whose sum is σ = 736732846080. Its totient is φ = 60657465600.

The previous prime is 232122020209. The next prime is 232122020237. The reversal of 232122020220 is 22020221232.

232122020220 is a `hidden beast` number, since 232 + 12 + 202 + 0 + 220 = 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 = 232122020193 and 232122020202.

It is a congruent number.

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, 8913739 + ... + 8939741.

It is an arithmetic number, because the mean of its divisors is an integer number (3837150240).

Almost surely, 2232122020220 is an apocalyptic number.

232122020220 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 232122020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368366423040).

232122020220 is an abundant number, since it is smaller than the sum of its proper divisors (504610825860).

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

232122020220 is a wasteful number, since it uses less digits than its factorization.

232122020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26353 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232122020220 its reverse (22020221232), we get a palindrome (254142241452).

The spelling of 232122020220 in words is "two hundred thirty-two billion, one hundred twenty-two million, twenty thousand, two hundred twenty".