Search a number
-
+
22283136 = 273223292
BaseRepresentation
bin101010100000…
…0001110000000
31112221002201100
41111000032000
521201030021
62113334400
7360255261
oct125001600
945832640
1022283136
111163a717
127567400
1348026b5
142d60968
151e52626
hex1540380

22283136 has 144 divisors (see below), whose sum is σ = 69296760. Its totient is φ = 6859776.

The previous prime is 22283111. The next prime is 22283147. The reversal of 22283136 is 63138222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 768370 + ... + 768398.

Almost surely, 222283136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648380).

22283136 is an abundant number, since it is smaller than the sum of its proper divisors (47013624).

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

22283136 is a wasteful number, since it uses less digits than its factorization.

22283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22283136 is about 4720.5016682552. The cubic root of 22283136 is about 281.4008707577.

The spelling of 22283136 in words is "twenty-two million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 64 69 72 87 92 96 116 128 138 144 174 184 192 207 232 261 276 288 348 368 384 414 464 522 552 576 667 696 736 828 841 928 1044 1104 1152 1334 1392 1472 1656 1682 1856 2001 2088 2208 2523 2668 2784 2944 3312 3364 3712 4002 4176 4416 5046 5336 5568 6003 6624 6728 7569 8004 8352 8832 10092 10672 11136 12006 13248 13456 15138 16008 16704 19343 20184 21344 24012 26496 26912 30276 32016 33408 38686 40368 42688 48024 53824 58029 60552 64032 77372 80736 85376 96048 107648 116058 121104 128064 154744 161472 174087 192096 232116 242208 256128 309488 322944 348174 384192 464232 484416 618976 696348 768384 928464 968832 1237952 1392696 1856928 2475904 2785392 3713856 5570784 7427712 11141568 22283136