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223514524140 = 223531911131909
BaseRepresentation
bin1101000000101010000…
…0001111100111101100
3210100221010000021111220
43100022200033213230
512130224204233030
6250403043543340
722101620051655
oct3201240174754
9710833007456
10223514524140
1186879138226
123739a68ab50
1318100b7a29b
14ab6506652c
155c32a1aa10
hex340a80f9ec

223514524140 has 96 divisors (see below), whose sum is σ = 646743121920. Its totient is φ = 57617414400.

The previous prime is 223514524133. The next prime is 223514524157. The reversal of 223514524140 is 41425415322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1628506 + ... + 1760414.

It is an arithmetic number, because the mean of its divisors is an integer number (6736907520).

Almost surely, 2223514524140 is an apocalyptic number.

223514524140 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 223514524140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323371560960).

223514524140 is an abundant number, since it is smaller than the sum of its proper divisors (423228597780).

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

223514524140 is a wasteful number, since it uses less digits than its factorization.

223514524140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132863 (or 132861 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 223514524140 its reverse (41425415322), we get a palindrome (264939939462).

The spelling of 223514524140 in words is "two hundred twenty-three billion, five hundred fourteen million, five hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 911 930 1822 1860 2733 3644 4555 5466 9110 10932 13665 18220 27330 28241 54660 56482 84723 112964 131909 141205 169446 263818 282410 338892 395727 423615 527636 564820 659545 791454 847230 1319090 1582908 1694460 1978635 2638180 3957270 4089179 7914540 8178358 12267537 16356716 20445895 24535074 40891790 49070148 61337685 81783580 120169099 122675370 240338198 245350740 360507297 480676396 600845495 721014594 1201690990 1442029188 1802536485 2403381980 3605072970 3725242069 7210145940 7450484138 11175726207 14900968276 18626210345 22351452414 37252420690 44702904828 55878631035 74504841380 111757262070 223514524140