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223004104020 = 22335735657131
BaseRepresentation
bin1100111110110000010…
…1001001010101010100
3210022121112120020202000
43033230011021111110
512123203022312040
6250240251515300
722053151415445
oct3175405112524
9708545506660
10223004104020
1186637004015
1237277758b30
131804c1b7349
14ab1735b2cc
155c02ce5130
hex33ec149554

223004104020 has 96 divisors (see below), whose sum is σ = 703294650240. Its totient is φ = 58653123840.

The previous prime is 223004104019. The next prime is 223004104061. The reversal of 223004104020 is 20401400322.

223004104020 is a `hidden beast` number, since 2 + 230 + 0 + 410 + 4 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223004103984 and 223004104002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2789146 + ... + 2867985.

It is an arithmetic number, because the mean of its divisors is an integer number (7325985940).

Almost surely, 2223004104020 is an apocalyptic number.

223004104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223004104020 is an abundant number, since it is smaller than the sum of its proper divisors (480290546220).

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

223004104020 is a wasteful number, since it uses less digits than its factorization.

223004104020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657222 (or 5657214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 223004104020 its reverse (20401400322), we get a palindrome (243405504342).

The spelling of 223004104020 in words is "two hundred twenty-three billion, four million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3942 4380 6570 7884 9855 13140 19710 39420 5657131 11314262 16971393 22628524 28285655 33942786 50914179 56571310 67885572 84856965 101828358 113142620 152742537 169713930 203656716 254570895 305485074 339427860 412970563 509141790 610970148 763712685 825941126 1018283580 1238911689 1527425370 1651882252 2064852815 2477823378 3054850740 3716735067 4129705630 4955646756 6194558445 7433470134 8259411260 11150205201 12389116890 14866940268 18583675335 22300410402 24778233780 37167350670 44600820804 55751026005 74334701340 111502052010 223004104020