Search a number
-
+
30222233120430 = 232513293583248597
BaseRepresentation
bin1101101111100101010010…
…11110000010111010101110
310222000012212101111222120100
412313302221132002322232
512430130113134323210
6144135522514131530
76236325052632261
oct667625136027256
9128005771458510
1030222233120430
1196a21a478274a
123481330880ba6
1313b2c37992a90
14766a9a172cd8
1537623a0795c0
hex1b7ca9782eae

30222233120430 has 192 divisors, whose sum is σ = 87565045800960. Its totient is φ = 7180757111808.

The previous prime is 30222233120369. The next prime is 30222233120483. The reversal of 30222233120430 is 3402133222203.

30222233120430 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 223 + 3 + 1 + 2 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30222233120394 and 30222233120403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121446892 + ... + 121695488.

It is an arithmetic number, because the mean of its divisors is an integer number (456067946880).

Almost surely, 230222233120430 is an apocalyptic number.

30222233120430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222233120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43782522900480).

30222233120430 is an abundant number, since it is smaller than the sum of its proper divisors (57342812680530).

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

30222233120430 is a wasteful number, since it uses less digits than its factorization.

30222233120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252235 (or 252232 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30222233120430 its reverse (3402133222203), we get a palindrome (33624366342633).

The spelling of 30222233120430 in words is "thirty trillion, two hundred twenty-two billion, two hundred thirty-three million, one hundred twenty thousand, four hundred thirty".