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20220000 = 25354337
BaseRepresentation
bin100110100100…
…0100001100000
31102001021121220
41031020201200
520134020000
62001215040
7333603303
oct115104140
942037556
1020220000
1110460649
126931480
13425c5c8
142984b3a
151b961a0
hex1348860

20220000 has 120 divisors (see below), whose sum is σ = 66522456. Its totient is φ = 5376000.

The previous prime is 20219951. The next prime is 20220007. The reversal of 20220000 is 2202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59832 + ... + 60168.

Almost surely, 220220000 is an apocalyptic number.

20220000 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 20220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33261228).

20220000 is an abundant number, since it is smaller than the sum of its proper divisors (46302456).

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

20220000 is an equidigital number, since it uses as much as digits as its factorization.

20220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20220000 is about 4496.6654311834. The cubic root of 20220000 is about 272.4334208748.

Adding to 20220000 its reverse (2202), we get a palindrome (20222202).

It can be divided in two parts, 202 and 20000, that added together give a palindrome (20202).

The spelling of 20220000 in words is "twenty million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 337 375 400 480 500 600 625 674 750 800 1000 1011 1200 1250 1348 1500 1685 1875 2000 2022 2400 2500 2696 3000 3370 3750 4000 4044 5000 5055 5392 6000 6740 7500 8088 8425 10000 10110 10784 12000 13480 15000 16176 16850 20000 20220 25275 26960 30000 32352 33700 40440 42125 50550 53920 60000 67400 80880 84250 101100 126375 134800 161760 168500 202200 210625 252750 269600 337000 404400 421250 505500 631875 674000 808800 842500 1011000 1263750 1348000 1685000 2022000 2527500 3370000 4044000 5055000 6740000 10110000 20220000