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225309293760 = 2635673502943
BaseRepresentation
bin1101000111010101111…
…0101111110011000000
3210112120012012000120210
43101311132233303000
512142413134400020
6251301120034120
722164242253315
oct3216536576300
9715505160523
10225309293760
118760a24a201
12377bb762940
1318328958745
14ac9557ad0c
155cda38e3e0
hex34757afcc0

225309293760 has 112 divisors (see below), whose sum is σ = 726034185216. Its totient is φ = 59185708032.

The previous prime is 225309293747. The next prime is 225309293771. The reversal of 225309293760 is 67392903522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1687152 + ... + 1815791.

Almost surely, 2225309293760 is an apocalyptic number.

225309293760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225309293760 is an abundant number, since it is smaller than the sum of its proper divisors (500724891456).

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

225309293760 is a wasteful number, since it uses less digits than its factorization.

225309293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503030 (or 3503020 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 225309293760 in words is "two hundred twenty-five billion, three hundred nine million, two hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 64320 3502943 7005886 10508829 14011772 17514715 21017658 28023544 35029430 42035316 52544145 56047088 70058860 84070632 105088290 112094176 140117720 168141264 210176580 224188352 234697181 280235440 336282528 420353160 469394362 560470880 672565056 704091543 840706320 938788724 1120941760 1173485905 1408183086 1681412640 1877577448 2346971810 2816366172 3362825280 3520457715 3755154896 4693943620 5632732344 7040915430 7510309792 9387887240 11265464688 14081830860 15020619584 18775774480 22530929376 28163661720 37551548960 45061858752 56327323440 75103097920 112654646880 225309293760