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223340442400 = 2552319005663
BaseRepresentation
bin1101000000000000100…
…0001011001100100000
3210100110222110000021001
43100000020023030200
512124400123124100
6250333504441344
722064404303015
oct3200010131440
9710428400231
10223340442400
1186799948019
1237350319254
13180a3a9913a
14ab49cad70c
155c225d0d6a
hex340020b320

223340442400 has 72 divisors (see below), whose sum is σ = 562817977344. Its totient is φ = 86454355200.

The previous prime is 223340442379. The next prime is 223340442461. The reversal of 223340442400 is 4244043322.

It is a happy number.

It is a super-2 number, since 2×2233404424002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4478032 + ... + 4527631.

It is an arithmetic number, because the mean of its divisors is an integer number (7816916352).

Almost surely, 2223340442400 is an apocalyptic number.

223340442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223340442400 is an abundant number, since it is smaller than the sum of its proper divisors (339477534944).

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

223340442400 is a wasteful number, since it uses less digits than its factorization.

223340442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005714 (or 9005701 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 223340442400 its reverse (4244043322), we get a palindrome (227584485722).

The spelling of 223340442400 in words is "two hundred twenty-three billion, three hundred forty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 9005663 18011326 36022652 45028315 72045304 90056630 144090608 180113260 225141575 279175553 288181216 360226520 450283150 558351106 720453040 900566300 1116702212 1395877765 1440906080 1801132600 2233404424 2791755530 3602265200 4466808848 5583511060 6979388825 7204530400 8933617696 11167022120 13958777650 22334044240 27917555300 44668088480 55835110600 111670221200 223340442400