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30230222002232 = 237321295174657
BaseRepresentation
bin1101101111110100001011…
…01001001101100000111000
310222000222111011000020011112
412313322011221031200320
512430242443313032412
6144143323335415452
76240030040205000
oct667720551154070
9128028434006145
1030230222002232
1196a56242468aa
1234829a0224588
1313b390bb12385
14767217185000
153765565ca722
hex1b7e85a4d838

30230222002232 has 64 divisors (see below), whose sum is σ = 66132129240000. Its totient is φ = 12949721530368.

The previous prime is 30230222002229. The next prime is 30230222002249. The reversal of 30230222002232 is 23220022203203.

It is a super-2 number, since 2×302302220022322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30230222002198 and 30230222002207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3254648 + ... + 8429304.

It is an arithmetic number, because the mean of its divisors is an integer number (1033314519375).

Almost surely, 230230222002232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30230222002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33066064620000).

30230222002232 is an abundant number, since it is smaller than the sum of its proper divisors (35901907237768).

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

30230222002232 is a wasteful number, since it uses less digits than its factorization.

30230222002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176813 (or 5176795 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 30230222002232 its reverse (23220022203203), we get a palindrome (53450244205435).

The spelling of 30230222002232 in words is "thirty trillion, two hundred thirty billion, two hundred twenty-two million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2129 2744 4258 8516 14903 17032 29806 59612 104321 119224 208642 417284 730247 834568 1460494 2920988 5174657 5841976 10349314 20698628 36222599 41397256 72445198 144890396 253558193 289780792 507116386 1014232772 1774907351 2028465544 3549814702 7099629404 11016844753 14199258808 22033689506 44067379012 77117913271 88134758024 154235826542 308471653084 539825392897 616943306168 1079650785794 2159301571588 3778777750279 4318603143176 7557555500558 15115111001116 30230222002232