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223132133322 = 23371009958451
BaseRepresentation
bin1100111111001110110…
…1100010011111001010
3210022221110110210221000
43033303231202133022
512123433311231242
6250301103555430
722056264560640
oct3176355423712
9708843423830
10223132133322
11866a22aa35a
12372b25bbb76
131806c892b27
14ab2a367190
155c0e184a4c
hex33f3b627ca

223132133322 has 64 divisors (see below), whose sum is σ = 566750592000. Its totient is φ = 63744634800.

The previous prime is 223132133321. The next prime is 223132133339. The reversal of 223132133322 is 223331231322.

223132133322 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 321 + 3 + 332 + 2 = 666.

223132133322 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 3×2231321333223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (223132133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3788197 + ... + 3846647.

It is an arithmetic number, because the mean of its divisors is an integer number (8855478000).

Almost surely, 2223132133322 is an apocalyptic number.

223132133322 is an abundant number, since it is smaller than the sum of its proper divisors (343618458678).

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

223132133322 is a wasteful number, since it uses less digits than its factorization.

223132133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68568 (or 68562 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 223132133322 its reverse (223331231322), we get a palindrome (446463364644).

The spelling of 223132133322 in words is "two hundred twenty-three billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10099 20198 30297 58451 60594 70693 90891 116902 141386 175353 181782 212079 272673 350706 409157 424158 526059 545346 636237 818314 1052118 1227471 1272474 1578177 1908711 2454942 3156354 3682413 3817422 7364826 11047239 22094478 590296649 1180593298 1770889947 3541779894 4132076543 5312669841 8264153086 10625339682 12396229629 15938009523 24792459258 31876019046 37188688887 74377377774 111566066661 223132133322