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BaseRepresentation
bin1100001010010…
…11101101110000
321002222020212121
412011023231300
5202104201000
614042404024
72346113143
oct605135560
9232866777
10102022000
1152652703
122a200614
13181a0c62
14d79a05a
158e53b1a
hex614bb70

102022000 has 80 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 39379200.

The previous prime is 102021991. The next prime is 102022003. The reversal of 102022000 is 220201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57121 + ... + 58879.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2102022000 is an apocalyptic number.

102022000 is a gapful number since it is divisible by the number (10) 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 102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

102022000 is an abundant number, since it is smaller than the sum of its proper divisors (153318800).

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

102022000 is a wasteful number, since it uses less digits than its factorization.

102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102022000 is about 10100.5940419363. The cubic root of 102022000 is about 467.2664623266.

Adding to 102022000 its reverse (220201), we get a palindrome (102242201).

The spelling of 102022000 in words is "one hundred two million, twenty-two thousand".