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30224255100 = 223521331124919
BaseRepresentation
bin11100001001100000…
…011000100001111100
32220000101021020112120
4130021200120201330
5443344402130400
621515042402540
72116661633544
oct341140304174
986011236476
1030224255100
11118aa893226
125a36060450
132b08992520
14166a142324
15bbd674ca0
hex70981887c

30224255100 has 144 divisors (see below), whose sum is σ = 94482286080. Its totient is φ = 7415596800.

The previous prime is 30224255093. The next prime is 30224255141. The reversal of 30224255100 is 155242203.

It is a congruent number.

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, 1200441 + ... + 1225359.

Almost surely, 230224255100 is an apocalyptic number.

30224255100 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 30224255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47241143040).

30224255100 is an abundant number, since it is smaller than the sum of its proper divisors (64258030980).

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

30224255100 is a wasteful number, since it uses less digits than its factorization.

30224255100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25260 (or 25253 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 30224255100 its reverse (155242203), we get a palindrome (30379497303).

The spelling of 30224255100 in words is "thirty billion, two hundred twenty-four million, two hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 311 325 390 622 650 780 933 975 1244 1300 1555 1866 1950 3110 3732 3900 4043 4665 6220 7775 8086 9330 12129 15550 16172 18660 20215 23325 24258 24919 31100 40430 46650 48516 49838 60645 74757 80860 93300 99676 101075 121290 124595 149514 202150 242580 249190 299028 303225 323947 373785 404300 498380 606450 622975 647894 747570 971841 1212900 1245950 1295788 1495140 1619735 1868925 1943682 2491900 3239470 3737850 3887364 4859205 6478940 7475700 7749809 8098675 9718410 15499618 16197350 19436820 23249427 24296025 30999236 32394700 38749045 46498854 48592050 77498090 92997708 97184100 100747517 116247135 154996180 193745225 201495034 232494270 302242551 387490450 402990068 464988540 503737585 581235675 604485102 774980900 1007475170 1162471350 1208970204 1511212755 2014950340 2324942700 2518687925 3022425510 5037375850 6044851020 7556063775 10074751700 15112127550 30224255100