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225162591360 = 2735716753169
BaseRepresentation
bin1101000110110010111…
…1000111110010000000
3210112011222010202201120
43101230233013302000
512142113110410420
6251234355432240
722160511306450
oct3215457076200
9715158122646
10225162591360
118754445a553
123777a5b5680
13183044427a5
14ac7dcadd60
155ccc561d40
hex346cbc7c80

225162591360 has 128 divisors (see below), whose sum is σ = 820235203200. Its totient is φ = 51465732096.

The previous prime is 225162591359. The next prime is 225162591371. The reversal of 225162591360 is 63195261522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8363145 + ... + 8390024.

It is an arithmetic number, because the mean of its divisors is an integer number (6408087525).

Almost surely, 2225162591360 is an apocalyptic number.

225162591360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225162591360 is an abundant number, since it is smaller than the sum of its proper divisors (595072611840).

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

225162591360 is a wasteful number, since it uses less digits than its factorization.

225162591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16753198 (or 16753186 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 225162591360 in words is "two hundred twenty-five billion, one hundred sixty-two million, five hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 16753169 33506338 50259507 67012676 83765845 100519014 117272183 134025352 167531690 201038028 234544366 251297535 268050704 335063380 351816549 402076056 469088732 502595070 536101408 586360915 670126760 703633098 804152112 938177464 1005190140 1072202816 1172721830 1340253520 1407266196 1608304224 1759082745 1876354928 2010380280 2144405632 2345443660 2680507040 2814532392 3216608448 3518165490 3752709856 4020760560 4690887320 5361014080 5629064784 6433216896 7036330980 7505419712 8041521120 9381774640 10722028160 11258129568 14072661960 15010839424 16083042240 18763549280 22516259136 28145323920 32166084480 37527098560 45032518272 56290647840 75054197120 112581295680 225162591360