Search a number
-
+
30222212310000 = 2432542371141629
BaseRepresentation
bin1101101111100101010000…
…01110101010001111110000
310222000012210221100201000200
412313302220032222033300
512430130042322410000
6144135520452115200
76236324411016414
oct667625016521760
9128005727321020
1030222212310000
1196a2193a59547
123481325905b00
1313b2c33587809
14766a974b6d44
15376238318500
hex1b7ca83aa3f0

30222212310000 has 300 divisors, whose sum is σ = 105736765185480. Its totient is φ = 8055800640000.

The previous prime is 30222212309923. The next prime is 30222212310029. The reversal of 30222212310000 is 1321222203.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×302222123100002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213319186 + ... + 213460814.

Almost surely, 230222212310000 is an apocalyptic number.

30222212310000 is a gapful number since it is divisible by the number (30) 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 30222212310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52868382592740).

30222212310000 is an abundant number, since it is smaller than the sum of its proper divisors (75514552875480).

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

30222212310000 is a wasteful number, since it uses less digits than its factorization.

30222212310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144034 (or 144010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30222212310000 its reverse (1321222203), we get a palindrome (30223533532203).

The spelling of 30222212310000 in words is "thirty trillion, two hundred twenty-two billion, two hundred twelve million, three hundred ten thousand".