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22201146 = 23211313617
BaseRepresentation
bin101010010110…
…0001100111010
31112202221020200
41110230030322
521140414041
62111503030
7356464242
oct124541472
945687220
1022201146
1111594060
127527a76
1347a4296
142d3cb22
151e381b6
hex152c33a

22201146 has 48 divisors (see below), whose sum is σ = 54183168. Its totient is φ = 6508800.

The previous prime is 22201129. The next prime is 22201159. The reversal of 22201146 is 64110222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4330 + ... + 7946.

It is an arithmetic number, because the mean of its divisors is an integer number (1128816).

Almost surely, 222201146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091584).

22201146 is an abundant number, since it is smaller than the sum of its proper divisors (31982022).

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

22201146 is a wasteful number, since it uses less digits than its factorization.

22201146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22201146 is about 4711.8092066636. The cubic root of 22201146 is about 281.0553117816.

Adding to 22201146 its reverse (64110222), we get a palindrome (86311368).

The spelling of 22201146 in words is "twenty-two million, two hundred one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 3617 6138 7234 10851 21702 32553 39787 65106 79574 112127 119361 224254 238722 336381 358083 672762 716166 1009143 1233397 2018286 2466794 3700191 7400382 11100573 22201146