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2022150 = 2352131761
BaseRepresentation
bin111101101101100000110
310210201212110
413231230012
51004202100
6111201450
723121324
oct7555406
93721773
102022150
1111612a9
12816286
1355a550
143a8d14
1529e250
hex1edb06

2022150 has 96 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 460800.

The previous prime is 2022149. The next prime is 2022157. The reversal of 2022150 is 512202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33120 + ... + 33180.

It is an arithmetic number, because the mean of its divisors is an integer number (60543).

22022150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2022150 is an abundant number, since it is smaller than the sum of its proper divisors (3789978).

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

2022150 is a wasteful number, since it uses less digits than its factorization.

2022150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2022150 is about 1422.0232065617. The cubic root of 2022150 is about 126.4555192600.

Adding to 2022150 its reverse (512202), we get a palindrome (2534352).

The spelling of 2022150 in words is "two million, twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 61 65 75 78 85 102 122 130 150 170 183 195 221 255 305 325 366 390 425 442 510 610 650 663 793 850 915 975 1037 1105 1275 1326 1525 1586 1830 1950 2074 2210 2379 2550 3050 3111 3315 3965 4575 4758 5185 5525 6222 6630 7930 9150 10370 11050 11895 13481 15555 16575 19825 23790 25925 26962 31110 33150 39650 40443 51850 59475 67405 77775 80886 118950 134810 155550 202215 337025 404430 674050 1011075 2022150