[go: up one dir, main page]

Search a number
-
+
1023312222 = 232192992141
BaseRepresentation
bin111100111111101…
…000000101011110
32122022112122110200
4330333220011132
54043431442342
6245313044330
734234003362
oct7477500536
92568478420
101023312222
114856a6689
122468566a6
131340100ba
1499c992a2
155ec8894c
hex3cfe815e

1023312222 has 24 divisors (see below), whose sum is σ = 2333870760. Its totient is φ = 323151120.

The previous prime is 1023312221. The next prime is 1023312259. The reversal of 1023312222 is 2222133201.

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 = 1023312195 and 1023312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023312221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495729 + ... + 1496412.

It is an arithmetic number, because the mean of its divisors is an integer number (97244615).

Almost surely, 21023312222 is an apocalyptic number.

1023312222 is an abundant number, since it is smaller than the sum of its proper divisors (1310558538).

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

1023312222 is a wasteful number, since it uses less digits than its factorization.

1023312222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992168 (or 2992165 counting only the distinct ones).

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

The square root of 1023312222 is about 31989.2516636448. The cubic root of 1023312222 is about 1007.7111263586.

Adding to 1023312222 its reverse (2222133201), we get a palindrome (3245445423).

The spelling of 1023312222 in words is "one billion, twenty-three million, three hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 2992141 5984282 8976423 17952846 26929269 53858538 56850679 113701358 170552037 341104074 511656111 1023312222