Search a number
-
+
1022322222 = 23473137631
BaseRepresentation
bin111100111011110…
…110011000101110
32122020200100110000
4330323312120232
54043203302342
6245235525130
734222411155
oct7473663056
92566610400
101022322222
1148508a8a9
122464597a6
13133a545bc
1499abc59c
155eb4044c
hex3cef662e

1022322222 has 80 divisors (see below), whose sum is σ = 2342796192. Its totient is φ = 333123840.

The previous prime is 1022322211. The next prime is 1022322229. The reversal of 1022322222 is 2222232201.

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 = 1022322195 and 1022322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022322229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1619847 + ... + 1620477.

Almost surely, 21022322222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022322222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171398096).

1022322222 is an abundant number, since it is smaller than the sum of its proper divisors (1320473970).

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

1022322222 is a wasteful number, since it uses less digits than its factorization.

1022322222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1022322222 is about 31973.7739718038. The cubic root of 1022322222 is about 1007.3860525816.

Adding to 1022322222 its reverse (2222232201), we get a palindrome (3244554423).

The spelling of 1022322222 in words is "one billion, twenty-two million, three hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 137 146 162 219 274 411 438 631 657 822 1233 1262 1314 1893 1971 2466 3699 3786 3942 5679 5913 7398 10001 11097 11358 11826 17037 20002 22194 30003 34074 46063 51111 60006 86447 90009 92126 102222 138189 172894 180018 259341 270027 276378 414567 518682 540054 778023 810081 829134 1243701 1556046 1620162 2334069 2487402 3731103 4668138 6310631 7002207 7462206 12621262 14004414 18931893 37863786 56795679 113591358 170387037 340774074 511161111 1022322222