Search a number
-
+
214002203400 = 233252831432411
BaseRepresentation
bin1100011101001110000…
…1100111101100001000
3202110101011220022120100
43013103201213230020
512001234031002100
6242151121525400
721314113500306
oct3072341475410
9673334808510
10214002203400
1182837734927
1235584aa3860
131724621cc2b
14a5019ad276
155877890400
hex31d3867b08

214002203400 has 144 divisors (see below), whose sum is σ = 727350165360. Its totient is φ = 56379657600.

The previous prime is 214002203353. The next prime is 214002203413. The reversal of 214002203400 is 4302200412.

214002203400 is a `hidden beast` number, since 2 + 1 + 40 + 0 + 220 + 3 + 400 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 566806 + ... + 865605.

It is an arithmetic number, because the mean of its divisors is an integer number (5051042815).

Almost surely, 2214002203400 is an apocalyptic number.

214002203400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002203400 is an abundant number, since it is smaller than the sum of its proper divisors (513347961960).

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

214002203400 is a wasteful number, since it uses less digits than its factorization.

214002203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432516 (or 1432504 counting only the distinct ones).

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

Adding to 214002203400 its reverse (4302200412), we get a palindrome (218304403812).

The spelling of 214002203400 in words is "two hundred fourteen billion, two million, two hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 83 90 100 120 150 166 180 200 225 249 300 332 360 415 450 498 600 664 747 830 900 996 1245 1494 1660 1800 1992 2075 2490 2988 3320 3735 4150 4980 5976 6225 7470 8300 9960 12450 14940 16600 18675 24900 29880 37350 49800 74700 149400 1432411 2864822 4297233 5729644 7162055 8594466 11459288 12891699 14324110 17188932 21486165 25783398 28648220 34377864 35810275 42972330 51566796 57296440 64458495 71620550 85944660 103133592 107430825 118890113 128916990 143241100 171889320 214861650 237780226 257833980 286482200 322292475 356670339 429723300 475560452 515667960 594450565 644584950 713340678 859446600 951120904 1070011017 1188901130 1289169900 1426681356 1783351695 2140022034 2377802260 2578339800 2853362712 2972252825 3566703390 4280044068 4755604520 5350055085 5944505650 7133406780 8560088136 8916758475 10700110170 11889011300 14266813560 17833516950 21400220340 23778022600 26750275425 35667033900 42800440680 53500550850 71334067800 107001101700 214002203400