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2265830088 = 2332910929867
BaseRepresentation
bin1000011100001101…
…1101001011001000
312211220120002112220
42013003131023020
514120023030323
61012500334040
7110102144424
oct20703351310
95756502486
102265830088
11a63002755
125329a4320
132a1570182
14176cd5b84
15d3dc20e3
hex870dd2c8

2265830088 has 64 divisors (see below), whose sum is σ = 5913864000. Its totient is φ = 722518272.

The previous prime is 2265830069. The next prime is 2265830107. The reversal of 2265830088 is 8800385622.

It is an interprime number because it is at equal distance from previous prime (2265830069) and next prime (2265830107).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60931 + ... + 90797.

It is an arithmetic number, because the mean of its divisors is an integer number (92404125).

Almost surely, 22265830088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265830088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956932000).

2265830088 is an abundant number, since it is smaller than the sum of its proper divisors (3648033912).

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

2265830088 is a wasteful number, since it uses less digits than its factorization.

2265830088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30014 (or 30010 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2265830088 is about 47600.7362127940. The cubic root of 2265830088 is about 1313.4365971925.

The spelling of 2265830088 in words is "two billion, two hundred sixty-five million, eight hundred thirty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 174 218 232 327 348 436 654 696 872 1308 2616 3161 6322 9483 12644 18966 25288 29867 37932 59734 75864 89601 119468 179202 238936 358404 716808 866143 1732286 2598429 3255503 3464572 5196858 6511006 6929144 9766509 10393716 13022012 19533018 20787432 26044024 39066036 78132072 94409587 188819174 283228761 377638348 566457522 755276696 1132915044 2265830088