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30221244240 = 243511101113341
BaseRepresentation
bin11100001001010100…
…111001011101010000
32220000011121021102020
4130021110321131100
5443343114303430
621514454051440
72116624223535
oct341124713520
986004537366
1030221244240
11118a9117110
125a35049b80
132b08179c55
14166999ad8c
15bbd27cb10
hex709539750

30221244240 has 160 divisors (see below), whose sum is σ = 103215572352. Its totient is φ = 7253760000.

The previous prime is 30221244223. The next prime is 30221244323. The reversal of 30221244240 is 4244212203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30221244240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209970 + ... + 323310.

Almost surely, 230221244240 is an apocalyptic number.

30221244240 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 30221244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51607786176).

30221244240 is an abundant number, since it is smaller than the sum of its proper divisors (72994328112).

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

30221244240 is a wasteful number, since it uses less digits than its factorization.

30221244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113469 (or 113463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30221244240 its reverse (4244212203), we get a palindrome (34465456443).

The spelling of 30221244240 in words is "thirty billion, two hundred twenty-one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 66660 88880 113341 133320 226682 266640 340023 453364 566705 680046 906728 1133410 1246751 1360092 1700115 1813456 2266820 2493502 2720184 3400230 3740253 4533640 4987004 5440368 6233755 6800460 7480506 9067280 9974008 11447441 12467510 13600920 14961012 18701265 19948016 22894882 24935020 27201840 29922024 34342323 37402530 45789764 49870040 57237205 59844048 68684646 74805060 91579528 99740080 114474410 125921851 137369292 149610120 171711615 183159056 228948820 251843702 274738584 299220240 343423230 377765553 457897640 503687404 549477168 629609255 686846460 755531106 915795280 1007374808 1259218510 1373692920 1511062212 1888827765 2014749616 2518437020 2747385840 3022124424 3777655530 5036874040 6044248848 7555311060 10073748080 15110622120 30221244240