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225421912320 = 2835115336693
BaseRepresentation
bin1101000111110000110…
…0010110100100000000
3210112212001002122012120
43101330030112210000
512143131002143240
6251320221524240
722200110432313
oct3217414264400
9715761078176
10225421912320
118766787a1a0
1237831413680
1318346099947
14aca64d497a
155ce51d7ad0
hex347c316900

225421912320 has 144 divisors (see below), whose sum is σ = 785390582592. Its totient is φ = 54647726080.

The previous prime is 225421912267. The next prime is 225421912333. The reversal of 225421912320 is 23219124522.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2626107 + ... + 2710586.

It is an arithmetic number, because the mean of its divisors is an integer number (5454101268).

Almost surely, 2225421912320 is an apocalyptic number.

225421912320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225421912320 is an abundant number, since it is smaller than the sum of its proper divisors (559968670272).

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

225421912320 is a wasteful number, since it uses less digits than its factorization.

225421912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336728 (or 5336714 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 225421912320 in words is "two hundred twenty-five billion, four hundred twenty-one million, nine hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 5336693 10673386 16010079 21346772 26683465 32020158 42693544 53366930 58703623 64040316 80050395 85387088 106733860 117407246 128080632 160100790 170774176 176110869 213467720 234814492 256161264 293518115 320201580 341548352 352221738 426935440 469628984 512322528 587036230 640403160 683096704 704443476 853870880 880554345 939257968 1024645056 1174072460 1280806320 1366193408 1408886952 1707741760 1761108690 1878515936 2049290112 2348144920 2561612640 2817773904 3415483520 3522217380 3757031872 4098580224 4696289840 5123225280 5635547808 6830967040 7044434760 7514063744 9392579680 10246450560 11271095616 14088869520 15028127488 18785159360 20492901120 22542191232 28177739040 37570318720 45084382464 56355478080 75140637440 112710956160 225421912320