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22274010 = 232511149151
BaseRepresentation
bin101010011110…
…1111111011010
31112220122012100
41110331333122
521200232020
62113224230
7360216543
oct124757732
945818170
1022274010
1111633880
127562076
1347cb4b5
142d5b4ca
151e4ea90
hex153dfda

22274010 has 96 divisors (see below), whose sum is σ = 64022400. Its totient is φ = 5328000.

The previous prime is 22274003. The next prime is 22274011. The reversal of 22274010 is 1047222.

It is a super-2 number, since 2×222740102 = 992263042960200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22274011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147435 + ... + 147585.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 222274010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22274010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011200).

22274010 is an abundant number, since it is smaller than the sum of its proper divisors (41748390).

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

22274010 is a wasteful number, since it uses less digits than its factorization.

22274010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22274010 is about 4719.5349347155. The cubic root of 22274010 is about 281.3624498489.

The spelling of 22274010 in words is "twenty-two million, two hundred seventy-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 149 151 165 198 298 302 330 447 453 495 745 755 894 906 990 1341 1359 1490 1510 1639 1661 2235 2265 2682 2718 3278 3322 4470 4530 4917 4983 6705 6795 8195 8305 9834 9966 13410 13590 14751 14949 16390 16610 22499 24585 24915 29502 29898 44998 49170 49830 67497 73755 74745 112495 134994 147510 149490 202491 224990 247489 337485 404982 494978 674970 742467 1012455 1237445 1484934 2024910 2227401 2474890 3712335 4454802 7424670 11137005 22274010