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30222102224 = 2429791674937
BaseRepresentation
bin11100001001011000…
…001010111011010000
32220000020012212100102
4130021120022323100
5443343324232344
621514524311532
72116634426126
oct341130127320
986006185312
1030222102224
11118a9652796
125a353a25a8
132b083ba632
141669b41916
15bbd39be4e
hex70960aed0

30222102224 has 80 divisors (see below), whose sum is σ = 61721049600. Its totient is φ = 14316137472.

The previous prime is 30222102203. The next prime is 30222102227. The reversal of 30222102224 is 42220122203.

It is a junction number, because it is equal to n+sod(n) for n = 30222102196 and 30222102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222102227) 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, 6119084 + ... + 6124020.

It is an arithmetic number, because the mean of its divisors is an integer number (771513120).

Almost surely, 230222102224 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 30222102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30860524800).

30222102224 is an abundant number, since it is smaller than the sum of its proper divisors (31498947376).

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

30222102224 is a wasteful number, since it uses less digits than its factorization.

30222102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30222102224 its reverse (42220122203), we get a palindrome (72442224427).

The spelling of 30222102224 in words is "thirty billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 79 116 158 167 232 316 334 464 632 668 1264 1336 2291 2672 4582 4843 4937 9164 9686 9874 13193 18328 19372 19748 26386 36656 38744 39496 52772 77488 78992 105544 143173 211088 286346 382597 390023 572692 765194 780046 824479 1145384 1530388 1560092 1648958 2290768 3060776 3120184 3297916 6121552 6240368 6595832 11310667 13191664 22621334 23909891 45242668 47819782 65133841 90485336 95639564 130267682 180970672 191279128 260535364 382558256 521070728 1042141456 1888881389 3777762778 7555525556 15111051112 30222102224