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223400040140 = 225296122212843
BaseRepresentation
bin1101000000001110101…
…1100001011011001100
3210100122010120212222202
43100003223201123030
512130010402241030
6250343434101032
722066030003244
oct3200353413314
9710563525882
10223400040140
118681a553752
123736827a778
13180b3234c84
14ab53b84b24
155c27954745
hex3403ae16cc

223400040140 has 96 divisors (see below), whose sum is σ = 493669028160. Its totient is φ = 84796185600.

The previous prime is 223400040139. The next prime is 223400040173. The reversal of 223400040140 is 41040004322.

It is a super-2 number, since 2×2234000401402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 78577559 + ... + 78580401.

It is an arithmetic number, because the mean of its divisors is an integer number (5142385710).

Almost surely, 2223400040140 is an apocalyptic number.

223400040140 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 223400040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246834514080).

223400040140 is an abundant number, since it is smaller than the sum of its proper divisors (270268988020).

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

223400040140 is a wasteful number, since it uses less digits than its factorization.

223400040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 223400040140 its reverse (41040004322), we get a palindrome (264440044462).

The spelling of 223400040140 in words is "two hundred twenty-three billion, four hundred million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 2221 2843 3538 4442 5686 7076 8845 8884 11105 11372 14215 17690 22210 28430 35380 44420 56860 64409 82447 128818 135481 164894 173423 257636 270962 322045 329788 346846 412235 541924 644090 677405 693692 824470 867115 1288180 1354810 1648940 1734230 2709620 3468460 3928949 5029267 6314303 7857898 10058534 12628606 15715796 19644745 20117068 25146335 25257212 31571515 39289490 50292670 63143030 78578980 100585340 126286060 183114787 366229574 385172483 732459148 770344966 915573935 1540689932 1831147870 1925862415 3662295740 3851724830 7703449660 11170002007 22340004014 44680008028 55850010035 111700020070 223400040140