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223630690140 = 22325111356915269
BaseRepresentation
bin1101000001000101101…
…1011000011101011100
3210101020012121010022100
43100101123120131130
512130443424041030
6250422353445100
722104530334234
oct3202133303534
9711205533270
10223630690140
1186928770490
1237411570790
131811bc61070
14ab76664cc4
155c3cd15360
hex34116d875c

223630690140 has 288 divisors, whose sum is σ = 798391339200. Its totient is φ = 49952010240.

The previous prime is 223630690123. The next prime is 223630690141. The reversal of 223630690140 is 41096036322.

223630690140 is a `hidden beast` number, since 2 + 2 + 3 + 630 + 6 + 9 + 0 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223630690095 and 223630690104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223630690141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14638426 + ... + 14653694.

It is an arithmetic number, because the mean of its divisors is an integer number (2772192150).

Almost surely, 2223630690140 is an apocalyptic number.

223630690140 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 223630690140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399195669600).

223630690140 is an abundant number, since it is smaller than the sum of its proper divisors (574760649060).

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

223630690140 is a wasteful number, since it uses less digits than its factorization.

223630690140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15877 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 223630690140 in words is "two hundred twenty-three billion, six hundred thirty million, six hundred ninety thousand, one hundred forty".