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223341434000 = 24537110931439
BaseRepresentation
bin1101000000000000101…
…1111101010010010000
3210100111001022101110222
43100000023331102100
512124400401342000
6250333542012212
722064415602666
oct3200013752220
9710431271428
10223341434000
118679a465023
1237350717068
13180a4055599
14ab4a08ac36
155c22729a85
hex34002fd490

223341434000 has 160 divisors (see below), whose sum is σ = 548527749120. Its totient is φ = 87936576000.

The previous prime is 223341433951. The next prime is 223341434003. The reversal of 223341434000 is 434143322.

It is a super-2 number, since 2×2233414340002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223341434003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155205281 + ... + 155206719.

It is an arithmetic number, because the mean of its divisors is an integer number (3428298432).

Almost surely, 2223341434000 is an apocalyptic number.

223341434000 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 223341434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274263874560).

223341434000 is an abundant number, since it is smaller than the sum of its proper divisors (325186315120).

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

223341434000 is a wasteful number, since it uses less digits than its factorization.

223341434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 223341434000 its reverse (434143322), we get a palindrome (223775577322).

The spelling of 223341434000 in words is "two hundred twenty-three billion, three hundred forty-one million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1093 1136 1420 1439 1775 2000 2186 2840 2878 3550 4372 5465 5680 5756 7100 7195 8744 8875 10930 11512 14200 14390 17488 17750 21860 23024 27325 28400 28780 35500 35975 43720 54650 57560 71000 71950 77603 87440 102169 109300 115120 136625 142000 143900 155206 179875 204338 218600 273250 287800 310412 359750 388015 408676 437200 510845 546500 575600 620824 719500 776030 817352 1021690 1093000 1241648 1439000 1552060 1572827 1634704 1940075 2043380 2186000 2554225 2878000 3104120 3145654 3880150 4086760 5108450 6208240 6291308 7760300 7864135 8173520 9700375 10216900 12582616 12771125 15520600 15728270 19400750 20433800 25165232 25542250 31041200 31456540 38801500 39320675 40867600 51084500 62913080 77603000 78641350 102169000 111670717 125826160 155206000 157282700 196603375 204338000 223341434 314565400 393206750 446682868 558353585 629130800 786413500 893365736 1116707170 1572827000 1786731472 2233414340 2791767925 3145654000 4466828680 5583535850 8933657360 11167071700 13958839625 22334143400 27917679250 44668286800 55835358500 111670717000 223341434000