Search a number
-
+
214577321880 = 233557710872851
BaseRepresentation
bin1100011111010111001…
…1100001011110011000
3202111212021002100210210
43013311303201132120
512003423243300010
6242324144411120
721334266066465
oct3076563413630
9674767070723
10214577321880
1183002338959
1235705616aa0
131730841651c
14a55811a66c
1558ad0e5b20
hex31f5ce1798

214577321880 has 128 divisors (see below), whose sum is σ = 645667246080. Its totient is φ = 57048883200.

The previous prime is 214577321869. The next prime is 214577321891. The reversal of 214577321880 is 88123775412.

214577321880 is digitally balanced in base 3, 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 (214577321869) and next prime (214577321891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75262455 + ... + 75265305.

It is an arithmetic number, because the mean of its divisors is an integer number (5044275360).

Almost surely, 2214577321880 is an apocalyptic number.

214577321880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214577321880 is an abundant number, since it is smaller than the sum of its proper divisors (431089924200).

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

214577321880 is a wasteful number, since it uses less digits than its factorization.

214577321880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 214577321880 in words is "two hundred fourteen billion, five hundred seventy-seven million, three hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 577 1087 1154 1731 2174 2308 2851 2885 3261 3462 4348 4616 5435 5702 5770 6522 6924 8553 8655 8696 10870 11404 11540 13044 13848 14255 16305 17106 17310 21740 22808 23080 26088 28510 32610 34212 34620 42765 43480 57020 65220 68424 69240 85530 114040 130440 171060 342120 627199 1254398 1645027 1881597 2508796 3099037 3135995 3290054 3763194 4935081 5017592 6198074 6271990 6580108 7526388 8225135 9297111 9407985 9870162 12396148 12543980 13160216 15052776 15495185 16450270 18594222 18815970 19740324 24675405 24792296 25087960 30990370 32900540 37188444 37631940 39480648 46485555 49350810 61980740 65801080 74376888 75263880 92971110 98701620 123961480 185942220 197403240 371884440 1788144349 3576288698 5364433047 7152577396 8940721745 10728866094 14305154792 17881443490 21457732188 26822165235 35762886980 42915464376 53644330470 71525773960 107288660940 214577321880