Search a number
-
+
223021232010 = 233573101112031
BaseRepresentation
bin1100111110110100011…
…0011110111110001010
3210022122201210102221000
43033231012132332022
512123221413411020
6250242102555430
722053450123333
oct3175506367612
9708581712830
10223021232010
1186645742585
1237281438b76
1318052903455
14ab1973928a
155c0457a090
hex33ed19ef8a

223021232010 has 128 divisors (see below), whose sum is σ = 608844625920. Its totient is φ = 58076352000.

The previous prime is 223021231991. The next prime is 223021232033. The reversal of 223021232010 is 10232120322.

223021232010 is a `hidden beast` number, since 22 + 302 + 12 + 320 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1934695 + ... + 2046725.

It is an arithmetic number, because the mean of its divisors is an integer number (4756598640).

Almost surely, 2223021232010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223021232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304422312960).

223021232010 is an abundant number, since it is smaller than the sum of its proper divisors (385823393910).

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

223021232010 is a wasteful number, since it uses less digits than its factorization.

223021232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112221 (or 112215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223021232010 its reverse (10232120322), we get a palindrome (233253352332).

The spelling of 223021232010 in words is "two hundred twenty-three billion, twenty-one million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 101 135 146 202 219 270 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1818 1971 2190 2727 3030 3285 3942 4545 5454 6570 7373 9090 9855 13635 14746 19710 22119 27270 36865 44238 66357 73730 110595 112031 132714 199071 221190 224062 331785 336093 398142 560155 663570 672186 995355 1008279 1120310 1680465 1990710 2016558 3024837 3360930 5041395 6049674 8178263 10082790 11315131 15124185 16356526 22630262 24534789 30248370 33945393 40891315 49069578 56575655 67890786 73604367 81782630 101836179 113151310 122673945 147208734 169726965 203672358 220813101 245347890 305508537 339453930 368021835 441626202 509180895 611017074 736043670 826004563 1018361790 1104065505 1527542685 1652009126 2208131010 2478013689 3055085370 4130022815 4956027378 7434041067 8260045630 12390068445 14868082134 22302123201 24780136890 37170205335 44604246402 74340410670 111510616005 223021232010