Search a number
-
+
20143400200 = 23527211186859
BaseRepresentation
bin10010110000101000…
…111110010100001000
31220222211100202100021
4102300220332110020
5312223202301300
613130450550224
71312113035200
oct226050762410
956884322307
1020143400200
1185a7473790
123aa1b98374
131b90305821
14d91373400
157cd644d1a
hex4b0a3e508

20143400200 has 144 divisors (see below), whose sum is σ = 59432691600. Its totient is φ = 6278428800.

The previous prime is 20143400191. The next prime is 20143400209. The reversal of 20143400200 is 200434102.

It is an interprime number because it is at equal distance from previous prime (20143400191) and next prime (20143400209).

It is a super-3 number, since 3×201434002003 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20143400209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14371 + ... + 201229.

It is an arithmetic number, because the mean of its divisors is an integer number (412727025).

Almost surely, 220143400200 is an apocalyptic number.

20143400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20143400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29716345800).

20143400200 is an abundant number, since it is smaller than the sum of its proper divisors (39289291400).

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

20143400200 is a wasteful number, since it uses less digits than its factorization.

20143400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186900 (or 186884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20143400200 its reverse (200434102), we get a palindrome (20343834302).

The spelling of 20143400200 in words is "twenty billion, one hundred forty-three million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 186859 373718 747436 934295 1308013 1494872 1868590 2055449 2616026 3737180 4110898 4671475 5232052 6540065 7474360 8221796 9156091 9342950 10277245 10464104 13080130 14388143 16443592 18312182 18685900 20554490 26160260 28776286 32700325 36624364 37371800 41108980 45780455 51386225 52320520 57552572 65400650 71940715 73248728 82217960 91560910 100717001 102772450 115105144 130801300 143881430 183121820 201434002 205544900 228902275 261602600 287762860 359703575 366243640 402868004 411089800 457804550 503585005 575525720 719407150 805736008 915609100 1007170010 1438814300 1831218200 2014340020 2517925025 2877628600 4028680040 5035850050 10071700100 20143400200