Search a number
-
+
21222002320 = 2453116215279
BaseRepresentation
bin10011110000111011…
…100000111010010000
32000202222221102021221
4103300323200322100
5321430313033240
613425501054424
71350621020611
oct236073407220
960688842257
1021222002320
1190002a34a2
124143257414
132002903a2c
141054701c08
158431a0a4a
hex4f0ee0e90

21222002320 has 80 divisors (see below), whose sum is σ = 50973880320. Its totient is φ = 8208345600.

The previous prime is 21222002303. The next prime is 21222002323. The reversal of 21222002320 is 2320022212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21222002294 and 21222002303.

It is not an unprimeable number, because it can be changed into a prime (21222002323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017441 + ... + 4022719.

It is an arithmetic number, because the mean of its divisors is an integer number (637173504).

Almost surely, 221222002320 is an apocalyptic number.

21222002320 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 21222002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25486940160).

21222002320 is an abundant number, since it is smaller than the sum of its proper divisors (29751878000).

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

21222002320 is a wasteful number, since it uses less digits than its factorization.

21222002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6938 counting only the distinct ones).

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

Adding to 21222002320 its reverse (2320022212), we get a palindrome (23542024532).

The spelling of 21222002320 in words is "twenty-one billion, two hundred twenty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1621 2480 3242 5279 6484 8105 10558 12968 16210 21116 25936 26395 32420 42232 50251 52790 64840 84464 100502 105580 129680 163649 201004 211160 251255 327298 402008 422320 502510 654596 804016 818245 1005020 1309192 1636490 2010040 2618384 3272980 4020080 6545960 8557259 13091920 17114518 34229036 42786295 68458072 85572590 136916144 171145180 265275029 342290360 530550058 684580720 1061100116 1326375145 2122200232 2652750290 4244400464 5305500580 10611001160 21222002320