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224322132232 = 231123263617683
BaseRepresentation
bin1101000011101010100…
…1000001100100001000
3210110000101200000112201
43100322221001210020
512133402431212412
6251015133445544
722130624443342
oct3207251014410
9713011600481
10224322132232
1187152aa5130
12375850408b4
13181cc2950b3
14ac00412292
155c7d896e57
hex343aa41908

224322132232 has 128 divisors (see below), whose sum is σ = 482094581760. Its totient is φ = 96861022720.

The previous prime is 224322132193. The next prime is 224322132277. The reversal of 224322132232 is 232231223422.

It is a super-2 number, since 2×2243221322322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224322132232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328436163 + ... + 328436845.

It is an arithmetic number, because the mean of its divisors is an integer number (3766363920).

Almost surely, 2224322132232 is an apocalyptic number.

224322132232 is a gapful number since it is divisible by the number (22) 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 224322132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241047290880).

224322132232 is an abundant number, since it is smaller than the sum of its proper divisors (257772449528).

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

224322132232 is a wasteful number, since it uses less digits than its factorization.

224322132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1599 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

Adding to 224322132232 its reverse (232231223422), we get a palindrome (456553355654).

The spelling of 224322132232 in words is "two hundred twenty-four billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 263 506 526 617 683 1012 1052 1234 1366 2024 2104 2468 2732 2893 4936 5464 5786 6049 6787 7513 11572 12098 13574 14191 15026 15709 23144 24196 27148 28382 30052 31418 48392 54296 56764 60104 62836 66539 113528 125672 133078 156101 162271 172799 179629 266156 312202 324542 345598 359258 421411 532312 624404 649084 691196 718516 842822 1248808 1298168 1382392 1437032 1685644 1784981 1975919 3371288 3569962 3732233 3951838 4131467 4635521 7139924 7464466 7903676 8262934 9271042 9692453 14279848 14928932 15807352 16525868 18542084 19384906 29857864 33051736 37084168 38769812 41054563 45446137 77539624 82109126 90892274 106616983 110831093 164218252 181784548 213233966 221662186 328436504 363569096 426467932 443324372 852935864 886648744 1219142023 2438284046 2549115139 4876568092 5098230278 9753136184 10196460556 20392921112 28040266529 56080533058 112161066116 224322132232