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223221013040 = 24531101891173
BaseRepresentation
bin1100111111100100000…
…0100101101000110000
3210100011122201100222102
43033321000211220300
512124124034404130
6250314000555532
722061424206324
oct3177100455060
9710148640872
10223221013040
1186738495a73
1237318322ba8
1318085111b8c
14ab380a1984
155c16d8e645
hex33f9025a30

223221013040 has 80 divisors (see below), whose sum is σ = 541035300096. Its totient is φ = 85552512000.

The previous prime is 223221013013. The next prime is 223221013063. The reversal of 223221013040 is 40310122322.

223221013040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2232210130403 (a number of 35 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 195107 + ... + 696066.

Almost surely, 2223221013040 is an apocalyptic number.

223221013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221013040 is an abundant number, since it is smaller than the sum of its proper divisors (317814287056).

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

223221013040 is a wasteful number, since it uses less digits than its factorization.

223221013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891318 (or 891312 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 223221013040 its reverse (40310122322), we get a palindrome (263531135362).

The spelling of 223221013040 in words is "two hundred twenty-three billion, two hundred twenty-one million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 101 124 155 202 248 310 404 496 505 620 808 1010 1240 1616 2020 2480 3131 4040 6262 8080 12524 15655 25048 31310 50096 62620 125240 250480 891173 1782346 3564692 4455865 7129384 8911730 14258768 17823460 27626363 35646920 55252726 71293840 90008473 110505452 138131815 180016946 221010904 276263630 360033892 442021808 450042365 552527260 720067784 900084730 1105054520 1440135568 1800169460 2210109040 2790262663 3600338920 5580525326 7200677840 11161050652 13951313315 22322101304 27902626630 44644202608 55805253260 111610506520 223221013040