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1022142114 = 232718144819
BaseRepresentation
bin111100111011001…
…010011010100010
32122020100012101100
4330323022122202
54043132021424
6245232015230
734221031110
oct7473123242
92566305340
101022142114
11484a77554
12246391516
131339c0626
1499a72ab0
155eb06dc9
hex3ceca6a2

1022142114 has 48 divisors (see below), whose sum is σ = 2545058880. Its totient is φ = 290420640.

The previous prime is 1022142113. The next prime is 1022142161. The reversal of 1022142114 is 4112412201.

1022142114 is a `hidden beast` number, since 10 + 221 + 421 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022142113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397 + ... + 45215.

It is an arithmetic number, because the mean of its divisors is an integer number (53022060).

Almost surely, 21022142114 is an apocalyptic number.

1022142114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022142114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272529440).

1022142114 is an abundant number, since it is smaller than the sum of its proper divisors (1522916766).

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

1022142114 is a wasteful number, since it uses less digits than its factorization.

1022142114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45015 (or 45012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1022142114 is about 31970.9573519468. The cubic root of 1022142114 is about 1007.3268902355.

Adding to 1022142114 its reverse (4112412201), we get a palindrome (5134554315).

The spelling of 1022142114 in words is "one billion, twenty-two million, one hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3801 7602 11403 22806 44819 89638 134457 268914 313733 403371 627466 806742 941199 1882398 2823597 5647194 8112239 16224478 24336717 48673434 56785673 73010151 113571346 146020302 170357019 340714038 511071057 1022142114