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30220242300 = 22325290737021
BaseRepresentation
bin11100001001010001…
…000100110101111100
32220000002201101000100
4130021101010311330
5443342340223200
621514420401100
72116612551453
oct341121046574
986002641010
1030220242300
11118a85a2366
125a34846190
132b07bb8ba1
1416697b9b9a
15bbd130d00
hex709444d7c

30220242300 has 108 divisors (see below), whose sum is σ = 94830668296. Its totient is φ = 8049628800.

The previous prime is 30220242281. The next prime is 30220242301. The reversal of 30220242300 is 324202203.

30220242300 is a `hidden beast` number, since 302 + 20 + 2 + 42 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220242301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 797790 + ... + 834810.

Almost surely, 230220242300 is an apocalyptic number.

30220242300 is a gapful number since it is divisible by the number (30) 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 30220242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47415334148).

30220242300 is an abundant number, since it is smaller than the sum of its proper divisors (64610425996).

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

30220242300 is a wasteful number, since it uses less digits than its factorization.

30220242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37948 (or 37938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30220242300 its reverse (324202203), we get a palindrome (30544444503).

The spelling of 30220242300 in words is "thirty billion, two hundred twenty million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 907 1814 2721 3628 4535 5442 8163 9070 10884 13605 16326 18140 22675 27210 32652 37021 40815 45350 54420 68025 74042 81630 90700 111063 136050 148084 163260 185105 204075 222126 272100 333189 370210 408150 444252 555315 666378 740420 816300 925525 1110630 1332756 1665945 1851050 2221260 2776575 3331890 3702100 5553150 6663780 8329725 11106300 16659450 33318900 33578047 67156094 100734141 134312188 167890235 201468282 302202423 335780470 402936564 503670705 604404846 671560940 839451175 1007341410 1208809692 1511012115 1678902350 2014682820 2518353525 3022024230 3357804700 5036707050 6044048460 7555060575 10073414100 15110121150 30220242300