Search a number
-
+
21222021000 = 233538385229
BaseRepresentation
bin10011110000111011…
…100101011110001000
32000202222222100220210
4103300323211132020
5321430314133000
613425501321120
71350621126225
oct236073453610
960688870823
1021222021000
119000306534
1241432661a0
13200290c39b
14105470894c
158431a6350
hex4f0ee5788

21222021000 has 128 divisors (see below), whose sum is σ = 67011235200. Its totient is φ = 5590956800.

The previous prime is 21222020993. The next prime is 21222021001. The reversal of 21222021000 is 12022212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21222021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206386 + ... + 291614.

It is an arithmetic number, because the mean of its divisors is an integer number (523525275).

Almost surely, 221222021000 is an apocalyptic number.

21222021000 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 21222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33505617600).

21222021000 is an abundant number, since it is smaller than the sum of its proper divisors (45789214200).

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

21222021000 is a wasteful number, since it uses less digits than its factorization.

21222021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85336 (or 85322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21222021000 its reverse (12022212), we get a palindrome (21234043212).

The spelling of 21222021000 in words is "twenty-one billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12450 16600 20750 24900 31125 41500 49800 62250 83000 85229 124500 170458 249000 255687 340916 426145 511374 681832 852290 1022748 1278435 1704580 2045496 2130725 2556870 3409160 4261450 5113740 6392175 7074007 8522900 10227480 10653625 12784350 14148014 17045800 21222021 21307250 25568700 28296028 31960875 35370035 42444042 42614500 51137400 56592056 63921750 70740070 84888084 85229000 106110105 127843500 141480140 169776168 176850175 212220210 255687000 282960280 353700350 424440420 530550525 707400700 848880840 884250875 1061101050 1414801400 1768501750 2122202100 2652752625 3537003500 4244404200 5305505250 7074007000 10611010500 21222021000