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223133122212 = 223741113311747
BaseRepresentation
bin1100111111001111000…
…1010011111010100100
3210022221112100001102120
43033303301103322210
512123434034402322
6250301141105540
722056306150000
oct3176361237244
9708845301376
10223133122212
11866a2915320
12372b29b82b0
131806cb4ac80
14ab2a543700
155c0e2cca5c
hex33f3c53ea4

223133122212 has 480 divisors, whose sum is σ = 737007366144. Its totient is φ = 51743059200.

The previous prime is 223133122207. The next prime is 223133122213. The reversal of 223133122212 is 212221331322.

223133122212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231331222123 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223133122213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127722723 + ... + 127724469.

Almost surely, 2223133122212 is an apocalyptic number.

223133122212 is a gapful number since it is divisible by the number (22) 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 223133122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368503683072).

223133122212 is an abundant number, since it is smaller than the sum of its proper divisors (513874243932).

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

223133122212 is a wasteful number, since it uses less digits than its factorization.

223133122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1814 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 223133122212 its reverse (212221331322), we get a palindrome (435354453534).

The spelling of 223133122212 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred twelve".