Search a number
-
+
10322144 = 257229227
BaseRepresentation
bin100111011000…
…000011100000
3201102102022122
4213120003200
510120302034
61005123412
7153510500
oct47300340
921372278
1010322144
1159101a8
123559568
1321a53a1
141529a00
15d8d62e
hex9d80e0

10322144 has 72 divisors (see below), whose sum is σ = 24562440. Its totient is φ = 4252416.

The previous prime is 10322113. The next prime is 10322159. The reversal of 10322144 is 44122301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45359 + ... + 45585.

It is an arithmetic number, because the mean of its divisors is an integer number (341145).

Almost surely, 210322144 is an apocalyptic number.

10322144 is a gapful number since it is divisible by the number (14) 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 10322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281220).

10322144 is an abundant number, since it is smaller than the sum of its proper divisors (14240296).

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

10322144 is a wasteful number, since it uses less digits than its factorization.

10322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10322144 is about 3212.8093625362. The cubic root of 10322144 is about 217.7325227204.

Adding to 10322144 its reverse (44122301), we get a palindrome (54444445).

The spelling of 10322144 in words is "ten million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 227 232 392 406 454 464 784 812 908 928 1421 1568 1589 1624 1816 2842 3178 3248 3632 5684 6356 6496 6583 7264 11123 11368 12712 13166 22246 22736 25424 26332 44492 45472 46081 50848 52664 88984 92162 105328 177968 184324 210656 322567 355936 368648 645134 737296 1290268 1474592 2580536 5161072 10322144