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22061000 = 2353131697
BaseRepresentation
bin101010000100…
…1111111001000
31112111211000002
41110021333020
521121423000
62104502132
7355341533
oct124117710
945454002
1022061000
11114a8835
12747a948
134755560
142d03a1a
151e0b8d5
hex1509fc8

22061000 has 64 divisors (see below), whose sum is σ = 55626480. Its totient is φ = 8140800.

The previous prime is 22060943. The next prime is 22061009. The reversal of 22061000 is 16022.

It can be written as a sum of positive squares in 8 ways, for example, as 1684804 + 20376196 = 1298^2 + 4514^2 .

It is not an unprimeable number, because it can be changed into a prime (22061009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12152 + ... + 13848.

Almost surely, 222061000 is an apocalyptic number.

22061000 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 22061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27813240).

22061000 is an abundant number, since it is smaller than the sum of its proper divisors (33565480).

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

22061000 is a wasteful number, since it uses less digits than its factorization.

22061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22061000 is about 4696.9138804113. The cubic root of 22061000 is about 280.4626704390.

Adding to 22061000 its reverse (16022), we get a palindrome (22077022).

The spelling of 22061000 in words is "twenty-two million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 1697 2600 3250 3394 6500 6788 8485 13000 13576 16970 22061 33940 42425 44122 67880 84850 88244 110305 169700 176488 212125 220610 339400 424250 441220 551525 848500 882440 1103050 1697000 2206100 2757625 4412200 5515250 11030500 22061000