Search a number
-
+
222432423440 = 24537415718077
BaseRepresentation
bin1100111100101000000…
…0010110111000010000
3210021010200211212102012
43033022000112320100
512121020200022230
6250103430442052
722033040255303
oct3171200267020
9707120755365
10222432423440
1186373338a27
1237138203328
1317c8a925806
14aaa1466b3a
155bbca1d395
hex33ca016e10

222432423440 has 80 divisors (see below), whose sum is σ = 531289714032. Its totient is φ = 86542682112.

The previous prime is 222432423401. The next prime is 222432423449. The reversal of 222432423440 is 44324234222.

222432423440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41218744576 + 181213678864 = 203024^2 + 425692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2224324234402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222432423397 and 222432423406.

It is not an unprimeable number, because it can be changed into a prime (222432423449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12295682 + ... + 12313758.

Almost surely, 2222432423440 is an apocalyptic number.

222432423440 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 222432423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265644857016).

222432423440 is an abundant number, since it is smaller than the sum of its proper divisors (308857290592).

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

222432423440 is a wasteful number, since it uses less digits than its factorization.

222432423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22284 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 222432423440 its reverse (44324234222), we get a palindrome (266756657662).

The spelling of 222432423440 in words is "two hundred twenty-two billion, four hundred thirty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4157 8314 16628 18077 20785 33256 36154 41570 66512 72308 83140 90385 144616 153809 166280 180770 289232 307618 332560 361540 615236 668849 723080 769045 1230472 1337698 1446160 1538090 2460944 2675396 3076180 3344245 5350792 6152360 6688490 10701584 12304720 13376980 26753960 53507920 75146089 150292178 300584356 375730445 601168712 751460890 1202337424 1502921780 2780405293 3005843560 5560810586 6011687120 11121621172 13902026465 22243242344 27804052930 44486484688 55608105860 111216211720 222432423440