Search a number
-
+
22210301230320 = 2435725861322237
BaseRepresentation
bin1010000110011001111010…
…00111010111110011110000
32220122021200002011202120010
411003030331013113303300
510402343144103332240
6115123134352214520
74451432653341300
oct503147507276360
986567602152503
1022210301230320
117093377028905
1225a8608b3a440
13c51565093518
1456adacd65600
15287b1a849280
hex14333d1d7cf0

22210301230320 has 240 divisors, whose sum is σ = 80106979887648. Its totient is φ = 5075758356480.

The previous prime is 22210301230307. The next prime is 22210301230321. The reversal of 22210301230320 is 2303210301222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210301230321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68764242 + ... + 69086478.

Almost surely, 222210301230320 is an apocalyptic number.

22210301230320 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 22210301230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40053489943824).

22210301230320 is an abundant number, since it is smaller than the sum of its proper divisors (57896678657328).

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

22210301230320 is a wasteful number, since it uses less digits than its factorization.

22210301230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328128 (or 328115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22210301230320 its reverse (2303210301222), we get a palindrome (24513511531542).

The spelling of 22210301230320 in words is "twenty-two trillion, two hundred ten billion, three hundred one million, two hundred thirty thousand, three hundred twenty".