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1022023024 = 24116139473
BaseRepresentation
bin111100111010101…
…101010101110000
32122020010011000121
4330322231111300
54043114214044
6245225300024
734220023651
oct7472552560
92566104017
101022023024
114849a6030
12246334614
1313397b369
1499a41528
155ead1984
hex3cead570

1022023024 has 40 divisors (see below), whose sum is σ = 2163937392. Its totient is φ = 463749120.

The previous prime is 1022023003. The next prime is 1022023043. The reversal of 1022023024 is 4203202201.

It is a super-2 number, since 2×10220230242 = 2089062123172209152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1022022989 and 1022023007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103152 + ... + 112624.

Almost surely, 21022023024 is an apocalyptic number.

It is an amenable number.

1022023024 is an abundant number, since it is smaller than the sum of its proper divisors (1141914368).

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

1022023024 is a wasteful number, since it uses less digits than its factorization.

1022023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1022023024 is about 31969.0948260973. The cubic root of 1022023024 is about 1007.2877674244.

Adding to 1022023024 its reverse (4203202201), we get a palindrome (5225225225).

The spelling of 1022023024 in words is "one billion, twenty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 613 1226 2452 4904 6743 9473 9808 13486 18946 26972 37892 53944 75784 104203 107888 151568 208406 416812 833624 1667248 5806949 11613898 23227796 46455592 63876439 92911184 127752878 255505756 511011512 1022023024