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1023132222 = 23471018933
BaseRepresentation
bin111100111110111…
…100001000111110
32122022012111120000
4330332330020332
54043410212342
6245305135130
734232323530
oct7476741076
92568174500
101023132222
11485593422
1224678a4a6
13133c791a8
1499c4d850
155ec5044c
hex3cfbc23e

1023132222 has 80 divisors (see below), whose sum is σ = 2646322272. Its totient is φ = 289396800.

The previous prime is 1023132221. The next prime is 1023132241. The reversal of 1023132222 is 2222313201.

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 = 1023132195 and 1023132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023132221) 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, 110068 + ... + 119000.

Almost surely, 21023132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323161136).

1023132222 is an abundant number, since it is smaller than the sum of its proper divisors (1623190050).

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

1023132222 is a wasteful number, since it uses less digits than its factorization.

1023132222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023132222 is about 31986.4380949177. The cubic root of 1023132222 is about 1007.6520376350.

Adding to 1023132222 its reverse (2222313201), we get a palindrome (3245445423).

The spelling of 1023132222 in words is "one billion, twenty-three million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 303 378 567 606 707 909 1134 1414 1818 2121 2727 4242 5454 6363 8181 8933 12726 16362 17866 19089 26799 38178 53598 57267 62531 80397 114534 125062 160794 187593 241191 375186 482382 562779 723573 902233 1125558 1447146 1688337 1804466 2706699 3376674 5065011 5413398 6315631 8120097 10130022 12631262 16240194 18946893 24360291 37893786 48720582 56840679 73080873 113681358 146161746 170522037 341044074 511566111 1023132222