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102022000 = 2453291759
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".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 1759 2000 2320 2900 3518 3625 5800 7036 7250 8795 11600 14072 14500 17590 28144 29000 35180 43975 51011 58000 70360 87950 102022 140720 175900 204044 219875 255055 351800 408088 439750 510110 703600 816176 879500 1020220 1275275 1759000 2040440 2550550 3518000 4080880 5101100 6376375 10202200 12752750 20404400 25505500 51011000 102022000