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30000220032 = 273181653661
BaseRepresentation
bin11011111100001001…
…110000011110000000
32212102202201002012110
4123330021300132000
5442420024020112
621440520455320
72111301443226
oct337411603600
985382632173
1030000220032
11117a5384382
12599301a540
132aa14412b3
1416484a4b16
15ba8b6e13c
hex6fc270780

30000220032 has 128 divisors (see below), whose sum is σ = 80372466720. Its totient is φ = 9914572800.

The previous prime is 30000220021. The next prime is 30000220067. The reversal of 30000220032 is 23002200003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45385782 + ... + 45386442.

Almost surely, 230000220032 is an apocalyptic number.

30000220032 is a gapful number since it is divisible by the number (32) 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 30000220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40186233360).

30000220032 is an abundant number, since it is smaller than the sum of its proper divisors (50372246688).

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

30000220032 is a wasteful number, since it uses less digits than its factorization.

30000220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30000220032 its reverse (23002200003), we get a palindrome (53002420035).

The spelling of 30000220032 in words is "thirty billion, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 653 661 724 1086 1306 1322 1448 1959 1983 2172 2612 2644 2896 3918 3966 4344 5224 5288 5792 7836 7932 8688 10448 10576 11584 15672 15864 17376 20896 21152 23168 31344 31728 34752 41792 42304 62688 63456 69504 83584 84608 118193 119641 125376 126912 236386 239282 250752 253824 354579 358923 431633 472772 478564 709158 717846 863266 945544 957128 1294899 1418316 1435692 1726532 1891088 1914256 2589798 2836632 2871384 3453064 3782176 3828512 5179596 5673264 5742768 6906128 7564352 7657024 10359192 11346528 11485536 13812256 15128704 15314048 20718384 22693056 22971072 27624512 41436768 45386112 45942144 55249024 78125573 82873536 156251146 165747072 234376719 312502292 468753438 625004584 937506876 1250009168 1875013752 2500018336 3750027504 5000036672 7500055008 10000073344 15000110016 30000220032