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30223553616 = 24322922731883
BaseRepresentation
bin11100001001011101…
…101101010001010000
32220000022221121021200
4130021131231101100
5443344212203431
621515015351200
72116652652444
oct341135552120
986008847250
1030223553616
11118aa454193
125a35982500
132b087a8149
141669ddc824
15bbd586ee6
hex70976d450

30223553616 has 120 divisors (see below), whose sum is σ = 87888883680. Its totient is φ = 9683966208.

The previous prime is 30223553611. The next prime is 30223553617. The reversal of 30223553616 is 61635532203.

30223553616 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 35 + 5 + 3 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30223553611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932011 + ... + 963893.

It is an arithmetic number, because the mean of its divisors is an integer number (732407364).

Almost surely, 230223553616 is an apocalyptic number.

30223553616 is a gapful number since it is divisible by the number (36) 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 30223553616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43944441840).

30223553616 is an abundant number, since it is smaller than the sum of its proper divisors (57665330064).

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

30223553616 is a wasteful number, since it uses less digits than its factorization.

30223553616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32153 (or 32144 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 30223553616 in words is "thirty billion, two hundred twenty-three million, five hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 227 232 261 348 454 464 522 681 696 908 1044 1362 1392 1816 2043 2088 2724 3632 4086 4176 5448 6583 8172 10896 13166 16344 19749 26332 31883 32688 39498 52664 59247 63766 78996 95649 105328 118494 127532 157992 191298 236988 255064 286947 315984 382596 473976 510128 573894 765192 924607 947952 1147788 1530384 1849214 2295576 2773821 3698428 4591152 5547642 7237441 7396856 8321463 11095284 14474882 14793712 16642926 21712323 22190568 28949764 33285852 43424646 44381136 57899528 65136969 66571704 86849292 115799056 130273938 133143408 173698584 209885789 260547876 347397168 419771578 521095752 629657367 839543156 1042191504 1259314734 1679086312 1888972101 2518629468 3358172624 3777944202 5037258936 7555888404 10074517872 15111776808 30223553616