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223500013040 = 24531611477393
BaseRepresentation
bin1101000000100110100…
…0111000110111110000
3210100220002201001000202
43100021220320313300
512130212000404130
6250401404534332
722101352523363
oct3201150706760
9710802631022
10223500013040
1186870a26887
12373958513a8
13180cab69335
14ab6316a0da
155c31601145
hex3409a38df0

223500013040 has 80 divisors (see below), whose sum is σ = 545193843456. Its totient is φ = 85097779200.

The previous prime is 223500013027. The next prime is 223500013043. The reversal of 223500013040 is 40310005322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223500013043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 587417 + ... + 889976.

Almost surely, 2223500013040 is an apocalyptic number.

223500013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223500013040 is an abundant number, since it is smaller than the sum of its proper divisors (321693830416).

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

223500013040 is a wasteful number, since it uses less digits than its factorization.

223500013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477498 (or 1477492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 223500013040 its reverse (40310005322), we get a palindrome (263810018362).

The spelling of 223500013040 in words is "two hundred twenty-three billion, five hundred million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 61 62 80 122 124 155 244 248 305 310 488 496 610 620 976 1220 1240 1891 2440 2480 3782 4880 7564 9455 15128 18910 30256 37820 75640 151280 1477393 2954786 5909572 7386965 11819144 14773930 23638288 29547860 45799183 59095720 90120973 91598366 118191440 180241946 183196732 228995915 360483892 366393464 450604865 457991830 720967784 732786928 901209730 915983660 1441935568 1802419460 1831967320 2793750163 3604838920 3663934640 5587500326 7209677840 11175000652 13968750815 22350001304 27937501630 44700002608 55875003260 111750006520 223500013040