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2234807538240 = 26357273202097
BaseRepresentation
bin100000100001010100111…
…010001101001001000000
321220122102120122200111110
4200201110322031021000
5243103341212210430
64430353441243320
7320313420435264
oct40412472151100
97818376580443
102234807538240
1179185a659712
12301154633540
13132983c5c104
147a24569c0a4
153d1ec1667b0
hex20854e8d240

2234807538240 has 112 divisors (see below), whose sum is σ = 7105276144512. Its totient is φ = 595128754176.

The previous prime is 2234807538217. The next prime is 2234807538247. The reversal of 2234807538240 is 428357084322.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2234807538240.

It is not an unprimeable number, because it can be changed into a prime (2234807538247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903129 + ... + 2298968.

It is an arithmetic number, because the mean of its divisors is an integer number (63439965576).

Almost surely, 22234807538240 is an apocalyptic number.

2234807538240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234807538240 is an abundant number, since it is smaller than the sum of its proper divisors (4870468606272).

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

2234807538240 is a wasteful number, since it uses less digits than its factorization.

2234807538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202844 (or 3202834 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2234807538240 in words is "two trillion, two hundred thirty-four billion, eight hundred seven million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 727 960 1454 2181 2908 3635 4362 5816 7270 8724 10905 11632 14540 17448 21810 23264 29080 34896 43620 46528 58160 69792 87240 116320 139584 174480 232640 348960 697920 3202097 6404194 9606291 12808388 16010485 19212582 25616776 32020970 38425164 48031455 51233552 64041940 76850328 96062910 102467104 128083880 153700656 192125820 204934208 256167760 307401312 384251640 512335520 614802624 768503280 1024671040 1537006560 2327924519 3074013120 4655849038 6983773557 9311698076 11639622595 13967547114 18623396152 23279245190 27935094228 34918867785 37246792304 46558490380 55870188456 69837735570 74493584608 93116980760 111740376912 139675471140 148987169216 186233961520 223480753824 279350942280 372467923040 446961507648 558701884560 744935846080 1117403769120 2234807538240