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223221000040 = 23511349385177
BaseRepresentation
bin1100111111100100000…
…0100010011101101000
3210100011122200201010221
43033321000202131220
512124124034000130
6250314000415424
722061424123403
oct3177100423550
9710148621127
10223221000040
1186738487225
1237318317574
1318085108c9c
14ab3809ad3a
155c16d8a87a
hex33f9022768

223221000040 has 32 divisors (see below), whose sum is σ = 506691926280. Its totient is φ = 88498235392.

The previous prime is 223221000029. The next prime is 223221000083. The reversal of 223221000040 is 40000122322.

It can be written as a sum of positive squares in 4 ways, for example, as 47916334404 + 175304665636 = 218898^2 + 418694^2 .

It is a super-3 number, since 3×2232210000403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223220999978 and 223221000023.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24688069 + ... + 24697108.

Almost surely, 2223221000040 is an apocalyptic number.

223221000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221000040 is an abundant number, since it is smaller than the sum of its proper divisors (283470926240).

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

223221000040 is a wasteful number, since it uses less digits than its factorization.

223221000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49385301 (or 49385297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 223221000040 its reverse (40000122322), we get a palindrome (263221122362).

The spelling of 223221000040 in words is "two hundred twenty-three billion, two hundred twenty-one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 49385177 98770354 197540708 246925885 395081416 493851770 987703540 1975407080 5580525001 11161050002 22322100004 27902625005 44644200008 55805250010 111610500020 223221000040