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224314343004 = 223431912698461
BaseRepresentation
bin1101000011101000101…
…1010011111001011100
3210102222212000021201210
43100322023103321130
512133343432434004
6251014254504420
722130501312253
oct3207213237134
9712885007653
10224314343004
1187149664a54
1237582505110
13181ca79889b
14abdd38579a
155c7cd59089
hex343a2d3e5c

224314343004 has 96 divisors (see below), whose sum is σ = 540441538560. Its totient is φ = 72371577600.

The previous prime is 224314342981. The next prime is 224314343021. The reversal of 224314343004 is 400343413422.

It is a happy number.

It is a super-3 number, since 3×2243143430043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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, 26507334 + ... + 26515794.

It is an arithmetic number, because the mean of its divisors is an integer number (5629599360).

Almost surely, 2224314343004 is an apocalyptic number.

It is an amenable number.

224314343004 is an abundant number, since it is smaller than the sum of its proper divisors (316127195556).

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

224314343004 is a wasteful number, since it uses less digits than its factorization.

224314343004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 224314343004 its reverse (400343413422), we get a palindrome (624657756426).

The spelling of 224314343004 in words is "two hundred twenty-four billion, three hundred fourteen million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 12 43 86 129 172 191 258 269 382 516 538 573 764 807 1076 1146 1614 2292 3228 8213 8461 11567 16426 16922 23134 24639 25383 32852 33844 34701 46268 49278 50766 51379 69402 98556 101532 102758 138804 154137 205516 308274 363823 616548 727646 1091469 1455292 1616051 2182938 2209297 2276009 3232102 4365876 4418594 4552018 4848153 6464204 6627891 6828027 8837188 9104036 9696306 13255782 13656054 19392612 26511564 27312108 69490193 97868387 138980386 195736774 208470579 277960772 293605161 391473548 416941158 434717719 587210322 833882316 869435438 1174420644 1304153157 1738870876 2608306314 5216612628 18692861917 37385723834 56078585751 74771447668 112157171502 224314343004