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223424211330 = 233511350914387
BaseRepresentation
bin1101000000010100011…
…1101110100110000010
3210100200211001220122000
43100011013232212002
512130033044230310
6250350100124430
722066442314215
oct3200507564602
9710624056560
10223424211330
1186832162941
1237374396716
13180b8248b58
14ab5707777c
155c29b2b4c0
hex34051ee982

223424211330 has 128 divisors (see below), whose sum is σ = 602293190400. Its totient is φ = 58932421632.

The previous prime is 223424211319. The next prime is 223424211331. The reversal of 223424211330 is 33112424322.

223424211330 is a `hidden beast` number, since 2 + 23 + 424 + 211 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223424211294 and 223424211303.

It is not an unprimeable number, because it can be changed into a prime (223424211331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15522397 + ... + 15536783.

It is an arithmetic number, because the mean of its divisors is an integer number (4705415550).

Almost surely, 2223424211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223424211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301146595200).

223424211330 is an abundant number, since it is smaller than the sum of its proper divisors (378868979070).

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

223424211330 is a wasteful number, since it uses less digits than its factorization.

223424211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223424211330 its reverse (33112424322), we get a palindrome (256536635652).

The spelling of 223424211330 in words is "two hundred twenty-three billion, four hundred twenty-four million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 509 565 678 1017 1018 1130 1527 1695 2034 2545 3051 3054 3390 4581 5085 5090 6102 7635 9162 10170 13743 14387 15255 15270 22905 27486 28774 30510 43161 45810 57517 68715 71935 86322 115034 129483 137430 143870 172551 215805 258966 287585 345102 388449 431610 517653 575170 647415 776898 862755 1035306 1294830 1552959 1625731 1725510 1942245 2588265 3105918 3251462 3884490 4877193 5176530 7322983 7764795 8128655 9754386 14631579 14645966 15529590 16257310 21968949 24385965 29263158 36614915 43894737 43937898 48771930 65906847 73157895 73229830 87789474 109844745 131813694 146315790 197720541 219473685 219689490 329534235 395441082 438947370 659068470 827497079 988602705 1654994158 1977205410 2482491237 4137485395 4964982474 7447473711 8274970790 12412456185 14894947422 22342421133 24824912370 37237368555 44684842266 74474737110 111712105665 223424211330