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2235520032240 = 2435114111205981
BaseRepresentation
bin100000100001111111011…
…000001001110111110000
321220201021020100010112010
4200201333120021313300
5243111321112012430
64430552252402520
7320340161514255
oct40417730116760
97821236303463
102235520032240
11792095861a30
12301313176440
13132a687542b1
147a2b216942c
153d23e9a5cb0
hex2087f609df0

2235520032240 has 160 divisors (see below), whose sum is σ = 7561998001152. Its totient is φ = 541809792000.

The previous prime is 2235520032217. The next prime is 2235520032259. The reversal of 2235520032240 is 422300255322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2235520032198 and 2235520032207.

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, 10750050 + ... + 10956030.

Almost surely, 22235520032240 is an apocalyptic number.

2235520032240 is a gapful number since it is divisible by the number (20) 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 2235520032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780999000576).

2235520032240 is an abundant number, since it is smaller than the sum of its proper divisors (5326477968912).

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

2235520032240 is a wasteful number, since it uses less digits than its factorization.

2235520032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210119 (or 210113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 2235520032240 its reverse (422300255322), we get a palindrome (2657820287562).

The spelling of 2235520032240 in words is "two trillion, two hundred thirty-five billion, five hundred twenty million, thirty-two 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 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4111 8222 12333 16444 20555 24666 32888 41110 45221 49332 61665 65776 82220 90442 98664 123330 135663 164440 180884 197328 205981 226105 246660 271326 328880 361768 411962 452210 493320 542652 617943 678315 723536 823924 904420 986640 1029905 1085304 1235886 1356630 1647848 1808840 2059810 2170608 2265791 2471772 2713260 3089715 3295696 3617680 4119620 4531582 4943544 5426520 6179430 6797373 8239240 9063164 9887088 10853040 11328955 12358860 13594746 16478480 18126328 22657910 24717720 27189492 33986865 36252656 45315820 49435440 54378984 67973730 90631640 108757968 135947460 181263280 271894920 543789840 846787891 1693575782 2540363673 3387151564 4233939455 5080727346 6774303128 8467878910 9314666801 10161454692 12701818365 13548606256 16935757820 18629333602 20322909384 25403636730 27944000403 33871515640 37258667204 40645818768 46573334005 50807273460 55888000806 67743031280 74517334408 93146668010 101614546920 111776001612 139720002015 149034668816 186293336020 203229093840 223552003224 279440004030 372586672040 447104006448 558880008060 745173344080 1117760016120 2235520032240