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21214050200 = 2352723169829
BaseRepresentation
bin10011110000011101…
…001011011110011000
32000202102222102000222
4103300131023132120
5321421244101300
613425014415212
71350463310600
oct236035133630
960672872028
1021214050200
118aa68619a2
124140661508
13200107b335
141053631c00
1584262e785
hex4f074b798

21214050200 has 144 divisors (see below), whose sum is σ = 59227012800. Its totient is φ = 7038662400.

The previous prime is 21214050191. The next prime is 21214050241. The reversal of 21214050200 is 205041212.

It is a congruent number.

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, 268886 + ... + 338714.

It is an arithmetic number, because the mean of its divisors is an integer number (411298700).

Almost surely, 221214050200 is an apocalyptic number.

21214050200 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 21214050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29613506400).

21214050200 is an abundant number, since it is smaller than the sum of its proper divisors (38012962600).

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

21214050200 is a wasteful number, since it uses less digits than its factorization.

21214050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69890 (or 69874 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 21214050200 its reverse (205041212), we get a palindrome (21419091412).

The spelling of 21214050200 in words is "twenty-one billion, two hundred fourteen million, fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 49 50 56 62 70 98 100 124 140 155 175 196 200 217 245 248 280 310 350 392 434 490 620 700 775 868 980 1085 1225 1240 1400 1519 1550 1736 1960 2170 2450 3038 3100 4340 4900 5425 6076 6200 7595 8680 9800 10850 12152 15190 21700 30380 37975 43400 60760 69829 75950 139658 151900 279316 303800 349145 488803 558632 698290 977606 1396580 1745725 1955212 2164699 2444015 2793160 3421621 3491450 3910424 4329398 4888030 6843242 6982900 8658796 9776060 10823495 12220075 13686484 13965800 15152893 17108105 17317592 19552120 21646990 24440150 27372968 30305786 34216210 43293980 48880300 54117475 60611572 68432420 75764465 85540525 86587960 97760600 106070251 108234950 121223144 136864840 151528930 171081050 212140502 216469900 303057860 342162100 378822325 424281004 432939800 530351255 606115720 684324200 757644650 848562008 1060702510 1515289300 2121405020 2651756275 3030578600 4242810040 5303512550 10607025100 21214050200