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3223220022 = 2321122951031
BaseRepresentation
bin1100000000011110…
…0110111100110110
322022122001112122100
43000013212330312
523100121020042
61251500442530
7142605626631
oct30007467466
98278045570
103223220022
111404472a00
1275b549446
133c4a0b7a9
14228110c18
1513ce8824c
hexc01e6f36

3223220022 has 72 divisors (see below), whose sum is σ = 7941089520. Its totient is φ = 943034400.

The previous prime is 3223219997. The next prime is 3223220029. The reversal of 3223220022 is 2200223223.

3223220022 is a `hidden beast` number, since 322 + 322 + 0 + 0 + 22 = 666.

3223220022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3223219977 and 3223220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223220029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37647 + ... + 88677.

It is an arithmetic number, because the mean of its divisors is an integer number (110292910).

Almost surely, 23223220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970544760).

3223220022 is an abundant number, since it is smaller than the sum of its proper divisors (4717869498).

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

3223220022 is a wasteful number, since it uses less digits than its factorization.

3223220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51090 (or 51076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3223220022 is about 56773.4094625292. The cubic root of 3223220022 is about 1477.1683167269.

Adding to 3223220022 its reverse (2200223223), we get a palindrome (5423443245).

The spelling of 3223220022 in words is "three billion, two hundred twenty-three million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 10527 21054 31581 51031 63162 102062 153093 306186 459279 561341 918558 1122682 1479899 1684023 2959798 3368046 4439697 5052069 6174751 8879394 10104138 12349502 13319091 16278889 18524253 26638182 32557778 37048506 48836667 55572759 97673334 111145518 146510001 179067779 293020002 358135558 537203337 1074406674 1611610011 3223220022