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30230112240 = 24325268315649
BaseRepresentation
bin11100001001110110…
…101110011111110000
32220000210021211000200
4130021312232133300
5443402402042430
621515412115200
72120062500006
oct341166563760
986023254020
1030230112240
1111903123839
125a38005b00
132b09c634a3
14166ac28a76
15bbde30460
hex709dae7f0

30230112240 has 120 divisors (see below), whose sum is σ = 101567122800. Its totient is φ = 8057843712.

The previous prime is 30230112239. The next prime is 30230112293. The reversal of 30230112240 is 4221103203.

30230112240 is a `hidden beast` number, since 302 + 301 + 1 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923936 + ... + 1939584.

It is an arithmetic number, because the mean of its divisors is an integer number (846392690).

Almost surely, 230230112240 is an apocalyptic number.

30230112240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30230112240 is an abundant number, since it is smaller than the sum of its proper divisors (71337010560).

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

30230112240 is a wasteful number, since it uses less digits than its factorization.

30230112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18351 (or 18342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30230112240 its reverse (4221103203), we get a palindrome (34451215443).

The spelling of 30230112240 in words is "thirty billion, two hundred thirty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2683 5366 8049 10732 13415 15649 16098 21464 24147 26830 31298 32196 40245 42928 46947 48294 53660 62596 64392 78245 80490 93894 96588 107320 120735 125192 128784 140841 156490 160980 187788 193176 214640 234735 241470 250384 281682 312980 321960 375576 386352 469470 482940 563364 625960 643920 704205 751152 938940 965880 1126728 1251920 1408410 1877880 1931760 2253456 2816820 3755760 5633640 11267280 41986267 83972534 125958801 167945068 209931335 251917602 335890136 377876403 419862670 503835204 629794005 671780272 755752806 839725340 1007670408 1259588010 1511505612 1679450680 1889382015 2015340816 2519176020 3023011224 3358901360 3778764030 5038352040 6046022448 7557528060 10076704080 15115056120 30230112240