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2265485000 = 23545383103
BaseRepresentation
bin1000011100001000…
…1000111011001000
312211212220120011212
42013002020323020
514114431010000
61012445112252
7110066206352
oct20702107310
95755816155
102265485000
11a62897459
12532858688
132a147c08c
14176c460d2
15d3d54c35
hex87088ec8

2265485000 has 160 divisors (see below), whose sum is σ = 5526480960. Its totient is φ = 869856000.

The previous prime is 2265484849. The next prime is 2265485021. The reversal of 2265485000 is 5845622.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21994949 + ... + 21995051.

It is an arithmetic number, because the mean of its divisors is an integer number (34540506).

Almost surely, 22265485000 is an apocalyptic number.

2265485000 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 2265485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763240480).

2265485000 is an abundant number, since it is smaller than the sum of its proper divisors (3260995960).

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

2265485000 is a wasteful number, since it uses less digits than its factorization.

2265485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2265485000 is about 47597.1112568820. Note that the first 3 decimals coincide. The cubic root of 2265485000 is about 1313.3699146077.

The spelling of 2265485000 in words is "two billion, two hundred sixty-five million, four hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 83 100 103 106 125 166 200 206 212 250 265 332 412 415 424 500 515 530 625 664 824 830 1000 1030 1060 1250 1325 1660 2060 2075 2120 2500 2575 2650 3320 4120 4150 4399 5000 5150 5300 5459 6625 8300 8549 8798 10300 10375 10600 10918 12875 13250 16600 17098 17596 20600 20750 21836 21995 25750 26500 27295 33125 34196 35192 41500 42745 43672 43990 51500 51875 53000 54590 64375 66250 68392 83000 85490 87980 103000 103750 109180 109975 128750 132500 136475 170980 175960 207500 213725 218360 219950 257500 265000 272950 341960 415000 427450 439900 453097 515000 545900 549875 682375 854900 879800 906194 1068625 1091800 1099750 1364750 1709800 1812388 2137250 2199500 2265485 2729500 2749375 3411875 3624776 4274500 4399000 4530970 5343125 5459000 5498750 6823750 8549000 9061940 10686250 10997500 11327425 13647500 18123880 21372500 21995000 22654850 27295000 42745000 45309700 56637125 90619400 113274250 226548500 283185625 453097000 566371250 1132742500 2265485000