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223214555040 = 25354111342203
BaseRepresentation
bin1100111111100010011…
…1111100111110100000
3210100011012120021021020
43033320213330332200
512124120411230130
6250313210325440
722061315261331
oct3177047747640
9710135507236
10223214555040
1186734884a84
1237316129880
1318083990589
14ab372a0288
155c16515e10
hex33f89fcfa0

223214555040 has 96 divisors (see below), whose sum is σ = 720275322816. Its totient is φ = 58072074240.

The previous prime is 223214554991. The next prime is 223214555051. The reversal of 223214555040 is 40555412322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2232145550403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223214554992 and 223214555010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5651422 + ... + 5690781.

It is an arithmetic number, because the mean of its divisors is an integer number (7502867946).

Almost surely, 2223214555040 is an apocalyptic number.

223214555040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223214555040 is an abundant number, since it is smaller than the sum of its proper divisors (497060767776).

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

223214555040 is a wasteful number, since it uses less digits than its factorization.

223214555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342262 (or 11342254 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 223214555040 its reverse (40555412322), we get a palindrome (263769967362).

The spelling of 223214555040 in words is "two hundred twenty-three billion, two hundred fourteen million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 11342203 22684406 34026609 45368812 56711015 68053218 90737624 113422030 136106436 170133045 181475248 226844060 272212872 340266090 362950496 453688120 465030323 544425744 680532180 907376240 930060646 1088851488 1361064360 1395090969 1814752480 1860121292 2325151615 2722128720 2790181938 3720242584 4650303230 5444257440 5580363876 6975454845 7440485168 9300606460 11160727752 13950909690 14880970336 18601212920 22321455504 27901819380 37202425840 44642911008 55803638760 74404851680 111607277520 223214555040