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1022202104 = 237118319993
BaseRepresentation
bin111100111011011…
…001000011111000
32122020110020200012
4330323121003320
54043140431404
6245233201052
734221401030
oct7473310370
92566406605
101022202104
11485008630
12246400188
13133a11a21
1499a8a8c0
155eb19a6e
hex3ced90f8

1022202104 has 64 divisors (see below), whose sum is σ = 2418474240. Its totient is φ = 393442560.

The previous prime is 1022202067. The next prime is 1022202131. The reversal of 1022202104 is 4012022201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 41132 + ... + 61124.

It is an arithmetic number, because the mean of its divisors is an integer number (37788660).

Almost surely, 21022202104 is an apocalyptic number.

1022202104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209237120).

1022202104 is an abundant number, since it is smaller than the sum of its proper divisors (1396272136).

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

1022202104 is a wasteful number, since it uses less digits than its factorization.

1022202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1022202104 is about 31971.8955334212. The cubic root of 1022202104 is about 1007.3465966792.

Adding to 1022202104 its reverse (4012022201), we get a palindrome (5034224305).

The spelling of 1022202104 in words is "one billion, twenty-two million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 83 88 154 166 308 332 581 616 664 913 1162 1826 2324 3652 4648 6391 7304 12782 19993 25564 39986 51128 79972 139951 159944 219923 279902 439846 559804 879692 1119608 1539461 1659419 1759384 3078922 3318838 6157844 6637676 11615933 12315688 13275352 18253609 23231866 36507218 46463732 73014436 92927464 127775263 146028872 255550526 511101052 1022202104