Search a number
-
+
400402102230 = 23451394740153
BaseRepresentation
bin1011101001110011101…
…00110011011111010110
31102021111201012021120000
411310321310303133112
523030010414232410
6503535302352130
740633223466504
oct5647164633726
91367451167500
10400402102230
1114489a603799
1265725a2b646
132b9b0a37760
1415545753674
15a636d74dc0
hex5d39d337d6

400402102230 has 160 divisors (see below), whose sum is σ = 1160708228064. Its totient is φ = 98453988864.

The previous prime is 400402102223. The next prime is 400402102277. The reversal of 400402102230 is 32201204004.

400402102230 is a `hidden beast` number, since 40 + 0 + 402 + 1 + 0 + 223 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9951834 + ... + 9991986.

Almost surely, 2400402102230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400402102230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580354114032).

400402102230 is an abundant number, since it is smaller than the sum of its proper divisors (760306125834).

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

400402102230 is a wasteful number, since it uses less digits than its factorization.

400402102230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41132 (or 41123 counting only the distinct ones).

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

Adding to 400402102230 its reverse (32201204004), we get a palindrome (432603306234).

The spelling of 400402102230 in words is "four hundred billion, four hundred two million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 947 1053 1170 1755 1894 2106 2841 3510 4735 5265 5682 8523 9470 10530 12311 14205 17046 24622 25569 28410 36933 40153 42615 51138 61555 73866 76707 80306 85230 110799 120459 123110 127845 153414 184665 200765 221598 240918 255690 332397 361377 369330 383535 401530 521989 553995 602295 664794 722754 767070 997191 1043978 1084131 1107990 1204590 1565967 1661985 1806885 1994382 2168262 2609945 3131934 3252393 3323970 3613770 4697901 4985955 5219890 5420655 6504786 7829835 9395802 9971910 10841310 14093703 15659670 16261965 23489505 28187406 32523930 38024891 42281109 46979010 70468515 76049782 84562218 114074673 140937030 190124455 211405545 228149346 342224019 380248910 422811090 494323583 570373365 684448038 988647166 1026672057 1140746730 1482970749 1711120095 2053344114 2471617915 2965941498 3080016171 3422240190 4448912247 4943235830 5133360285 6160032342 7414853745 8897824494 10266720570 13346736741 14829707490 15400080855 22244561235 26693473482 30800161710 40040210223 44489122470 66733683705 80080420446 133467367410 200201051115 400402102230