Search a number
-
+
22394960 = 2457229197
BaseRepresentation
bin101010101101…
…1100001010000
31120010210002222
41111123201100
521213114320
62120000212
7361232300
oct125334120
946123088
1022394960
1111706735
127600068
134841573
142d8d600
151e75825
hex155b850

22394960 has 120 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 7375872.

The previous prime is 22394947. The next prime is 22394963. The reversal of 22394960 is 6949322.

22394960 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 4 ways, for example, as 8317456 + 14077504 = 2884^2 + 3752^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22394960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22394963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113582 + ... + 113778.

It is an arithmetic number, because the mean of its divisors is an integer number (524799).

Almost surely, 222394960 is an apocalyptic number.

22394960 is a gapful number since it is divisible by the number (20) 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 22394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

22394960 is an abundant number, since it is smaller than the sum of its proper divisors (40580920).

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

22394960 is a wasteful number, since it uses less digits than its factorization.

22394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 22394960 is about 4732.3313493457. The cubic root of 22394960 is about 281.8708058006.

The spelling of 22394960 in words is "twenty-two million, three hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 197 203 232 245 280 290 392 394 406 464 490 560 580 784 788 812 980 985 1015 1160 1379 1421 1576 1624 1960 1970 2030 2320 2758 2842 3152 3248 3920 3940 4060 5516 5684 5713 6895 7105 7880 8120 9653 11032 11368 11426 13790 14210 15760 16240 19306 22064 22736 22852 27580 28420 28565 38612 39991 45704 48265 55160 56840 57130 77224 79982 91408 96530 110320 113680 114260 154448 159964 193060 199955 228520 279937 319928 386120 399910 457040 559874 639856 772240 799820 1119748 1399685 1599640 2239496 2799370 3199280 4478992 5598740 11197480 22394960