Search a number
-
+
21214224200 = 23521364712611
BaseRepresentation
bin10011110000011101…
…110101111101001000
32000202110022020201102
4103300131311331020
5321421320133300
613425022240532
71350464634101
oct236035657510
960673266642
1021214224200
118aa69706a4
124140726148
13200110c5b0
1410536793a8
158426660d5
hex4f0775f48

21214224200 has 96 divisors (see below), whose sum is σ = 53203469760. Its totient is φ = 7820217600.

The previous prime is 21214224173. The next prime is 21214224221. The reversal of 21214224200 is 242241212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675895 + ... + 1688505.

It is an arithmetic number, because the mean of its divisors is an integer number (554202810).

Almost surely, 221214224200 is an apocalyptic number.

21214224200 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 21214224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601734880).

21214224200 is an abundant number, since it is smaller than the sum of its proper divisors (31989245560).

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

21214224200 is a wasteful number, since it uses less digits than its factorization.

21214224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21214224200 its reverse (242241212), we get a palindrome (21456465412).

The spelling of 21214224200 in words is "twenty-one billion, two hundred fourteen million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 647 650 1294 1300 2588 2600 3235 5176 6470 8411 12611 12940 16175 16822 25222 25880 32350 33644 42055 50444 63055 64700 67288 84110 100888 126110 129400 163943 168220 210275 252220 315275 327886 336440 420550 504440 630550 655772 819715 841100 1261100 1311544 1639430 1682200 2522200 3278860 4098575 6557720 8159317 8197150 16318634 16394300 32637268 32788600 40796585 65274536 81593170 106071121 163186340 203982925 212142242 326372680 407965850 424284484 530355605 815931700 848568968 1060711210 1631863400 2121422420 2651778025 4242844840 5303556050 10607112100 21214224200