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223940824120 = 235134167211743
BaseRepresentation
bin1101000010001111101…
…0011100110000111000
3210102000211011120011001
43100203322130300320
512132112322332440
6250513233014344
722115314412026
oct3204372346070
9712024146131
10223940824120
1186a77836762
12374993b43b4
131816b2996b0
14aba5915716
155c5a176b9a
hex3423e9cc38

223940824120 has 256 divisors, whose sum is σ = 567593671680. Its totient is φ = 78982041600.

The previous prime is 223940824073. The next prime is 223940824139. The reversal of 223940824120 is 21428049322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 223940824120.

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, 301400469 + ... + 301401211.

It is an arithmetic number, because the mean of its divisors is an integer number (2217162780).

Almost surely, 2223940824120 is an apocalyptic number.

223940824120 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 223940824120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283796835840).

223940824120 is an abundant number, since it is smaller than the sum of its proper divisors (343652847560).

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

223940824120 is a wasteful number, since it uses less digits than its factorization.

223940824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 223940824120 in words is "two hundred twenty-three billion, nine hundred forty million, eight hundred twenty-four thousand, one hundred twenty".