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22001000 = 235372449
BaseRepresentation
bin101001111101…
…1010101101000
31112101202200212
41103323111220
521113013000
62103320252
7355001600
oct123732550
945352625
1022001000
111146774a
127450088
134734158
142cc9c00
151de8c35
hex14fb568

22001000 has 96 divisors (see below), whose sum is σ = 60021000. Its totient is φ = 7526400.

The previous prime is 22000963. The next prime is 22001033. The reversal of 22001000 is 10022.

It can be written as a sum of positive squares in 4 ways, for example, as 7606564 + 14394436 = 2758^2 + 3794^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48776 + ... + 49224.

Almost surely, 222001000 is an apocalyptic number.

22001000 is a gapful number since it is divisible by the number (20) 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 22001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30010500).

22001000 is an abundant number, since it is smaller than the sum of its proper divisors (38020000).

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

22001000 is a wasteful number, since it uses less digits than its factorization.

22001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

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

The square root of 22001000 is about 4690.5223589703. The cubic root of 22001000 is about 280.2081785154.

Adding to 22001000 its reverse (10022), we get a palindrome (22011022).

It can be divided in two parts, 2 and 2001000, that added together give a palindrome (2001002).

The spelling of 22001000 in words is "twenty-two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 449 490 500 700 875 898 980 1000 1225 1400 1750 1796 1960 2245 2450 3143 3500 3592 4490 4900 6125 6286 7000 8980 9800 11225 12250 12572 15715 17960 22001 22450 24500 25144 31430 44002 44900 49000 56125 62860 78575 88004 89800 110005 112250 125720 157150 176008 220010 224500 314300 392875 440020 449000 550025 628600 785750 880040 1100050 1571500 2200100 2750125 3143000 4400200 5500250 11000500 22001000