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30021233220 = 223251117387643
BaseRepresentation
bin11011111101011001…
…111010101001000100
32212111020020122212200
4123331121322221010
5442440413430340
621442551114500
72111645162166
oct337531725104
985436218780
1030021233220
1111806226950
12599a072a30
132aa58ba934
14164b1b4936
15baa920330
hex6fd67aa44

30021233220 has 144 divisors (see below), whose sum is σ = 99918366912. Its totient is φ = 7235723520.

The previous prime is 30021233219. The next prime is 30021233251. The reversal of 30021233220 is 2233212003.

It is a happy number.

30021233220 is a `hidden beast` number, since 300 + 2 + 12 + 332 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30021233193 and 30021233202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298719 + ... + 386361.

It is an arithmetic number, because the mean of its divisors is an integer number (693877548).

Almost surely, 230021233220 is an apocalyptic number.

30021233220 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 30021233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49959183456).

30021233220 is an abundant number, since it is smaller than the sum of its proper divisors (69897133692).

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

30021233220 is a wasteful number, since it uses less digits than its factorization.

30021233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87842 (or 87837 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30021233220 its reverse (2233212003), we get a palindrome (32254445223).

The spelling of 30021233220 in words is "thirty billion, twenty-one million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 173 180 198 220 330 346 396 495 519 660 692 865 990 1038 1557 1730 1903 1980 2076 2595 3114 3460 3806 5190 5709 6228 7612 7785 9515 10380 11418 15570 17127 19030 22836 28545 31140 34254 38060 57090 68508 85635 87643 114180 171270 175286 262929 342540 350572 438215 525858 788787 876430 964073 1051716 1314645 1577574 1752860 1928146 2629290 2892219 3155148 3856292 3943935 4820365 5258580 5784438 7887870 8676657 9640730 11568876 14461095 15162239 15775740 17353314 19281460 28922190 30324478 34706628 43383285 45486717 57844380 60648956 75811195 86766570 90973434 136460151 151622390 166784629 173533140 181946868 227433585 272920302 303244780 333569258 454867170 500353887 545840604 667138516 682300755 833923145 909734340 1000707774 1364601510 1501061661 1667846290 2001415548 2501769435 2729203020 3002123322 3335692580 5003538870 6004246644 7505308305 10007077740 15010616610 30021233220