Search a number
-
+
223571820672 = 2732139312
BaseRepresentation
bin1101000000110111101…
…0110100000010000000
3210101002002211020120200
43100031322310002000
512130333341230142
6250412452005200
722103214056154
oct3201572640200
9711062736520
10223571820672
11868a8511a32
12373b5900800
131810c9bb865
14ab6c8dd064
155c37a8764c
hex340deb4080

223571820672 has 72 divisors (see below), whose sum is σ = 643397387295. Its totient is φ = 74518590720.

The previous prime is 223571820653. The next prime is 223571820691. The reversal of 223571820672 is 276028175322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223571820672 is a `hidden beast` number, since 2 + 2 + 3 + 571 + 8 + 2 + 0 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (223571820653) and next prime (223571820691).

It can be written as a sum of positive squares in only one way, i.e., 111785910336 + 111785910336 = 334344^2 + 334344^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334344.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16041547 + ... + 16055477.

Almost surely, 2223571820672 is an apocalyptic number.

It is an amenable number.

223571820672 is an abundant number, since it is smaller than the sum of its proper divisors (419825566623).

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

223571820672 is an frugal number, since it uses more digits than its factorization.

223571820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27882 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 223571820672 its reverse (276028175322), we get a palindrome (499599995994).

The spelling of 223571820672 in words is "two hundred twenty-three billion, five hundred seventy-one million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 13931 27862 41793 55724 83586 111448 125379 167172 222896 250758 334344 445792 501516 668688 891584 1003032 1337376 1783168 2006064 2674752 4012128 5349504 8024256 16048512 194072761 388145522 582218283 776291044 1164436566 1552582088 1746654849 2328873132 3105164176 3493309698 4657746264 6210328352 6986619396 9315492528 12420656704 13973238792 18630985056 24841313408 27946477584 37261970112 55892955168 74523940224 111785910336 223571820672