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223434014240 = 25519175341927
BaseRepresentation
bin1101000000010110110…
…1000111111000100000
3210100201111111221200202
43100011231013320200
512130043101423430
6250351050204332
722066621533143
oct3200555077040
9710644457622
10223434014240
1186837748a18
12373777236a8
13180ba29baa8
14ab584aa05a
155c2a915d45
hex3405b47e20

223434014240 has 96 divisors (see below), whose sum is σ = 555975342720. Its totient is φ = 84619413504.

The previous prime is 223434014239. The next prime is 223434014351. The reversal of 223434014240 is 42410434322.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5308157 + ... + 5350083.

It is an arithmetic number, because the mean of its divisors is an integer number (5791409820).

Almost surely, 2223434014240 is an apocalyptic number.

223434014240 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 223434014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277987671360).

223434014240 is an abundant number, since it is smaller than the sum of its proper divisors (332541328480).

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

223434014240 is a wasteful number, since it uses less digits than its factorization.

223434014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43714 (or 43706 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 223434014240 its reverse (42410434322), we get a palindrome (265844448562).

The spelling of 223434014240 in words is "two hundred twenty-three billion, four hundred thirty-four million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 1753 3040 3506 7012 8765 14024 17530 28048 33307 35060 41927 56096 66614 70120 83854 133228 140240 166535 167708 209635 266456 280480 333070 335416 419270 532912 666140 670832 796613 838540 1065824 1332280 1341664 1593226 1677080 2664560 3186452 3354160 3983065 5329120 6372904 6708320 7966130 12745808 15932260 25491616 31864520 63729040 73498031 127458080 146996062 293992124 367490155 587984248 734980310 1175968496 1396462589 1469960620 2351936992 2792925178 2939921240 5585850356 5879842480 6982312945 11171700712 11759684960 13964625890 22343401424 27929251780 44686802848 55858503560 111717007120 223434014240