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223222403040 = 253571337592341
BaseRepresentation
bin1100111111100100010…
…1111000111111100000
3210100011202022222200220
43033321011320333200
512124124413344130
6250314050443040
722061442055650
oct3177105707740
9710152288626
10223222403040
118673925532a
1237318893480
13180854aa770
14ab38344360
155c17066410
hex33f9178fe0

223222403040 has 768 divisors, whose sum is σ = 904256317440. Its totient is φ = 45028638720.

The previous prime is 223222402969. The next prime is 223222403083. The reversal of 223222403040 is 40304222322.

It is a happy number.

It is a super-3 number, since 3×2232224030403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223222403040.

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, 95352270 + ... + 95354610.

It is an arithmetic number, because the mean of its divisors is an integer number (1177417080).

Almost surely, 2223222403040 is an apocalyptic number.

223222403040 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 223222403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452128158720).

223222403040 is an abundant number, since it is smaller than the sum of its proper divisors (681033914400).

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

223222403040 is a wasteful number, since it uses less digits than its factorization.

223222403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 223222403040 its reverse (40304222322), we get a palindrome (263526625362).

The spelling of 223222403040 in words is "two hundred twenty-three billion, two hundred twenty-two million, four hundred three thousand, forty".