Search a number
-
+
202153240170 = 232572112340819
BaseRepresentation
bin1011110001000101000…
…1011010011001101010
3201022210101222121201100
42330101101122121222
511303002212141140
6232511245302230
720414355122100
oct2742121323152
9638711877640
10202153240170
1178807263432
1233218864976
13160a845b19b
149ada069c70
1553d2506530
hex2f1145a66a

202153240170 has 144 divisors (see below), whose sum is σ = 611969847840. Its totient is φ = 46164178368.

The previous prime is 202153240141. The next prime is 202153240183. The reversal of 202153240170 is 71042351202.

202153240170 is a `hidden beast` number, since 2 + 0 + 21 + 532 + 40 + 1 + 70 = 666.

It is a super-2 number, since 2×2021532401702 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4932021 + ... + 4972839.

It is an arithmetic number, because the mean of its divisors is an integer number (4249790610).

Almost surely, 2202153240170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202153240170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305984923920).

202153240170 is an abundant number, since it is smaller than the sum of its proper divisors (409816607670).

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

202153240170 is a wasteful number, since it uses less digits than its factorization.

202153240170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41969 (or 41959 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 202153240170 its reverse (71042351202), we get a palindrome (273195591372).

The spelling of 202153240170 in words is "two hundred two billion, one hundred fifty-three million, two hundred forty thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1123 1470 2205 2246 3369 4410 5615 6738 7861 10107 11230 15722 16845 20214 23583 33690 39305 40819 47166 50535 55027 70749 78610 81638 101070 110054 117915 122457 141498 165081 204095 235830 244914 275135 285733 330162 353745 367371 408190 495243 550270 571466 612285 707490 734742 825405 857199 990486 1224570 1428665 1650810 1714398 1836855 2000131 2476215 2571597 2857330 3673710 4000262 4285995 4952430 5143194 6000393 8571990 10000655 12000786 12857985 18001179 20001310 25715970 30001965 36002358 45839737 60003930 90005895 91679474 137519211 180011790 229198685 275038422 320878159 412557633 458397370 641756318 687596055 825115266 962634477 1375192110 1604390795 1925268954 2062788165 2246147113 2887903431 3208781590 4125576330 4492294226 4813172385 5775806862 6738441339 9626344770 11230735565 13476882678 14439517155 20215324017 22461471130 28879034310 33692206695 40430648034 67384413390 101076620085 202153240170