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223020204120 = 233357196125453
BaseRepresentation
bin1100111110110100001…
…0100100000001011000
3210022122122212012221000
43033231002210001120
512123221133012440
6250242024545000
722053435312510
oct3175502440130
9708578765830
10223020204120
118664510028a
1237281022160
131805263362c
14ab1954c840
155c04425730
hex33ed0a4058

223020204120 has 512 divisors, whose sum is σ = 909013248000. Its totient is φ = 47499540480.

The previous prime is 223020204119. The next prime is 223020204131. The reversal of 223020204120 is 21402020322.

223020204120 is a `hidden beast` number, since 2 + 230 + 2 + 0 + 20 + 412 + 0 = 666.

It is a super-2 number, since 2×2230202041202 (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 = 223020204093 and 223020204102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8749314 + ... + 8774766.

It is an arithmetic number, because the mean of its divisors is an integer number (1775416500).

Almost surely, 2223020204120 is an apocalyptic number.

223020204120 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 223020204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454506624000).

223020204120 is an abundant number, since it is smaller than the sum of its proper divisors (685993043880).

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

223020204120 is a wasteful number, since it uses less digits than its factorization.

223020204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25560 (or 25550 counting only the distinct ones).

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

Adding to 223020204120 its reverse (21402020322), we get a palindrome (244422224442).

The spelling of 223020204120 in words is "two hundred twenty-three billion, twenty million, two hundred four thousand, one hundred twenty".