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1000022000 = 24531074673
BaseRepresentation
bin111011100110110…
…001111111110000
32120200201101021212
4323212301333300
54022001201000
6243121535252
733532022015
oct7346617760
92520641255
101000022000
1147353936a
1223aaa4528
1312c2471c3
1496b5570c
155cbd7c35
hex3b9b1ff0

1000022000 has 80 divisors (see below), whose sum is σ = 2441174112. Its totient is φ = 396185600.

The previous prime is 1000021987. The next prime is 1000022027. The reversal of 1000022000 is 2200001.

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

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211664 + ... + 216336.

Almost surely, 21000022000 is an apocalyptic number.

1000022000 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 1000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220587056).

1000022000 is an abundant number, since it is smaller than the sum of its proper divisors (1441152112).

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

1000022000 is a wasteful number, since it uses less digits than its factorization.

1000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1000022000 is about 31623.1244503133. The cubic root of 1000022000 is about 1000.0073332796.

Adding to 1000022000 its reverse (2200001), we get a palindrome (1002222001).

The spelling of 1000022000 in words is "one billion, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 4673 5350 8560 9346 10700 13375 18692 21400 23365 26750 37384 42800 46730 53500 74768 93460 107000 116825 186920 214000 233650 373840 467300 500011 584125 934600 1000022 1168250 1869200 2000044 2336500 2500055 4000088 4673000 5000110 8000176 9346000 10000220 12500275 20000440 25000550 40000880 50001100 62501375 100002200 125002750 200004400 250005500 500011000 1000022000