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223223420004040 = 23599718013310741
BaseRepresentation
bin110010110000010101000000…
…101001111010011011001000
31002021100221122221111222222201
4302300111000221322123020
5213224243031010112130
62110431231245125544
765006234304315631
oct6260250051723310
91067327587458881
10223223420004040
11651425801959a5
122105223b8598b4
139772b554a7621
143d1a0dd438888
151ac1847c13bca
hexcb0540a7a6c8

223223420004040 has 64 divisors (see below), whose sum is σ = 502785987770160. Its totient is φ = 89194570951680.

The previous prime is 223223420004001. The next prime is 223223420004049. The reversal of 223223420004040 is 40400024322322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 144625301352676 + 78598118651364 = 12026026^2 + 8865558^2 .

It is a super-3 number, since 3×2232234200040403 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223223420004049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718203070 + ... + 718513810.

Almost surely, 2223223420004040 is an apocalyptic number.

223223420004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223223420004040 is an abundant number, since it is smaller than the sum of its proper divisors (279562567766120).

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

223223420004040 is a wasteful number, since it uses less digits than its factorization.

223223420004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329762 (or 329758 counting only the distinct ones).

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

Adding to 223223420004040 its reverse (40400024322322), we get a palindrome (263623444326362).

The spelling of 223223420004040 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, four hundred twenty million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 997 1994 3988 4985 7976 9970 18013 19940 36026 39880 72052 90065 144104 180130 310741 360260 621482 720520 1242964 1553705 2485928 3107410 6214820 12429640 17958961 35917922 71835844 89794805 143671688 179589610 309808777 359179220 619617554 718358440 1239235108 1549043885 2478470216 3098087770 5597377633 6196175540 11194755266 12392351080 22389510532 27986888165 44779021064 55973776330 111947552660 223895105320 5580585500101 11161171000202 22322342000404 27902927500505 44644684000808 55805855001010 111611710002020 223223420004040