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223934578920 = 2332513223160031
BaseRepresentation
bin1101000010001110001…
…0101000000011101000
3210102000101102021100100
43100203202220003220
512132104223011140
6250512451105400
722115210341323
oct3204342500350
9712011367310
10223934578920
1186a74260638
12374972a2260
1318169bc0c00
14aba4b6b7ba
155c59841530
hex34238a80e8

223934578920 has 288 divisors, whose sum is σ = 822346836480. Its totient is φ = 52725404160.

The previous prime is 223934578891. The next prime is 223934578921. The reversal of 223934578920 is 29875439322.

223934578920 is a `hidden beast` number, since 2 + 2 + 3 + 93 + 457 + 89 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (223934578921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1319305 + ... + 1479335.

It is an arithmetic number, because the mean of its divisors is an integer number (2855370960).

Almost surely, 2223934578920 is an apocalyptic number.

223934578920 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 223934578920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411173418240).

223934578920 is an abundant number, since it is smaller than the sum of its proper divisors (598412257560).

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

223934578920 is a wasteful number, since it uses less digits than its factorization.

223934578920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160097 (or 160077 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 223934578920 in words is "two hundred twenty-three billion, nine hundred thirty-four million, five hundred seventy-eight thousand, nine hundred twenty".