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22069000 = 235329761
BaseRepresentation
bin101010000101…
…1111100001000
31112112012222101
41110023330020
521122202000
62105003144
7355404052
oct124137410
945465871
1022069000
1111503848
1274834b4
1347590a5
142d068d2
151e0de6a
hex150bf08

22069000 has 64 divisors (see below), whose sum is σ = 53492400. Its totient is φ = 8512000.

The previous prime is 22068997. The next prime is 22069027. The reversal of 22069000 is 96022.

It can be written as a sum of positive squares in 8 ways, for example, as 669124 + 21399876 = 818^2 + 4626^2 .

It is a super-2 number, since 2×220690002 = 974081522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28620 + ... + 29380.

Almost surely, 222069000 is an apocalyptic number.

22069000 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 22069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

22069000 is an abundant number, since it is smaller than the sum of its proper divisors (31423400).

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

22069000 is a wasteful number, since it uses less digits than its factorization.

22069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 22069000 is about 4697.7654262426. The cubic root of 22069000 is about 280.4965678176.

The spelling of 22069000 in words is "twenty-two million, sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 761 1000 1160 1450 1522 2900 3044 3625 3805 5800 6088 7250 7610 14500 15220 19025 22069 29000 30440 38050 44138 76100 88276 95125 110345 152200 176552 190250 220690 380500 441380 551725 761000 882760 1103450 2206900 2758625 4413800 5517250 11034500 22069000