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223142200440 = 23352789666733
BaseRepresentation
bin1100111111010001001…
…1111100010001111000
3210022222011102021102020
43033310103330101320
512123443400403230
6250302103434440
722056446260065
oct3176423742170
9708864367366
10223142200440
11866a7a55995
12372b5a55a20
13180719a90c3
14ab2b827c6c
155c0eec2810
hex33f44fc478

223142200440 has 64 divisors (see below), whose sum is σ = 669667629600. Its totient is φ = 59483162112.

The previous prime is 223142200433. The next prime is 223142200499. The reversal of 223142200440 is 44002241322.

It is a super-3 number, since 3×2231422004403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223142200440.

It is a congruent number.

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, 1314 + ... + 668046.

Almost surely, 2223142200440 is an apocalyptic number.

223142200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223142200440 is an abundant number, since it is smaller than the sum of its proper divisors (446525429160).

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

223142200440 is a wasteful number, since it uses less digits than its factorization.

223142200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669536 (or 669532 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 223142200440 its reverse (44002241322), we get a palindrome (267144441762).

The spelling of 223142200440 in words is "two hundred twenty-three billion, one hundred forty-two million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2789 5578 8367 11156 13945 16734 22312 27890 33468 41835 55780 66936 83670 111560 167340 334680 666733 1333466 2000199 2666932 3333665 4000398 5333864 6667330 8000796 10000995 13334660 16001592 20001990 26669320 40003980 80007960 1859518337 3719036674 5578555011 7438073348 9297591685 11157110022 14876146696 18595183370 22314220044 27892775055 37190366740 44628440088 55785550110 74380733480 111571100220 223142200440