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2265946380 = 2233519492153
BaseRepresentation
bin1000011100001111…
…1001100100001100
312211220210000002000
42013003321210030
514120040241010
61012503032300
7110103140445
oct20703714414
95756700060
102265946380
11a63082065
12532a3b690
132a15b1099
14176d262cc
15d3de67c0
hex870f990c

2265946380 has 96 divisors (see below), whose sum is σ = 7056504000. Its totient is φ = 603661824.

The previous prime is 2265946373. The next prime is 2265946393. The reversal of 2265946380 is 836495622.

2265946380 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 9 + 4 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1051384 + ... + 1053536.

It is an arithmetic number, because the mean of its divisors is an integer number (73505250).

Almost surely, 22265946380 is an apocalyptic number.

2265946380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265946380 is an abundant number, since it is smaller than the sum of its proper divisors (4790557620).

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

2265946380 is a wasteful number, since it uses less digits than its factorization.

2265946380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2265946380 is about 47601.9577328496. The cubic root of 2265946380 is about 1313.4590671851.

The spelling of 2265946380 in words is "two billion, two hundred sixty-five million, nine hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1949 2153 3898 4306 5847 6459 7796 8612 9745 10765 11694 12918 17541 19377 19490 21530 23388 25836 29235 32295 35082 38754 38980 43060 52623 58131 58470 64590 70164 77508 87705 96885 105246 116262 116940 129180 175410 193770 210492 232524 263115 290655 350820 387540 526230 581310 1052460 1162620 4196197 8392394 12588591 16784788 20980985 25177182 37765773 41961970 50354364 62942955 75531546 83923940 113297319 125885910 151063092 188828865 226594638 251771820 377657730 453189276 566486595 755315460 1132973190 2265946380