Search a number
-
+
223104302100 = 2235529181247
BaseRepresentation
bin1100111111001000001…
…1010111110000010100
3210022212112002211200000
43033302003113300110
512123404200131400
6250254231251300
722055506164231
oct3176203276024
9708775084600
10223104302100
1186688620349
12372a5219b30
1318066b9a054
14ab267a0788
155c0b9d8600
hex33f20d7c14

223104302100 has 108 divisors (see below), whose sum is σ = 725208417024. Its totient is φ = 59494474080.

The previous prime is 223104302093. The next prime is 223104302107. The reversal of 223104302100 is 1203401322.

223104302100 is a `hidden beast` number, since 2 + 23 + 1 + 0 + 430 + 210 + 0 = 666.

223104302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223104302093) and next prime (223104302107).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×2231043021003 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223104302107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4566324 + ... + 4614923.

Almost surely, 2223104302100 is an apocalyptic number.

223104302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223104302100 is an abundant number, since it is smaller than the sum of its proper divisors (502104114924).

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

223104302100 is a wasteful number, since it uses less digits than its factorization.

223104302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181276 (or 9181257 counting only the distinct ones).

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

Adding to 223104302100 its reverse (1203401322), we get a palindrome (224307703422).

The spelling of 223104302100 in words is "two hundred twenty-three billion, one hundred four million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 9181247 18362494 27543741 36724988 45906235 55087482 82631223 91812470 110174964 137718705 165262446 183624940 229531175 247893669 275437410 330524892 413156115 459062350 495787338 550874820 688593525 743681007 826312230 918124700 991574676 1239468345 1377187050 1487362014 1652624460 2065780575 2231043021 2478936690 2754374100 2974724028 3718405035 4131561150 4462086042 4957873380 6197341725 7436810070 8263122300 8924172084 11155215105 12394683450 14873620140 18592025175 22310430210 24789366900 37184050350 44620860420 55776075525 74368100700 111552151050 223104302100