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233222000000 = 27561110601
BaseRepresentation
bin1101100100110100011…
…1010100110110000000
3211021222122100010221212
43121031013110312000
512310114313000000
6255050220505252
722564313201603
oct3311507246600
9737878303855
10233222000000
118a9aa814550
12392496ab228
1318cba086642
14b40640033a
1560eed94c35
hex364d1d4d80

233222000000 has 224 divisors, whose sum is σ = 633627045720. Its totient is φ = 84800000000.

The previous prime is 233221999973. The next prime is 233222000023. The reversal of 233222000000 is 222332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21994700 + ... + 22005300.

Almost surely, 2233222000000 is an apocalyptic number.

233222000000 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 233222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316813522860).

233222000000 is an abundant number, since it is smaller than the sum of its proper divisors (400405045720).

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

233222000000 is an frugal number, since it uses more digits than its factorization.

233222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 233222000000 its reverse (222332), we get a palindrome (233222222332).

The spelling of 233222000000 in words is "two hundred thirty-three billion, two hundred twenty-two million", and thus it is an aban number.