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225210743700 = 223523124216209
BaseRepresentation
bin1101000110111110011…
…0110011101110010100
3210112022022202011022120
43101233212303232110
512142212422244300
6251243235455540
722161634510335
oct3215746635624
9715268664276
10225210743700
1187569659078
12377927575b0
1318311401bb7
14ac8644628c
155cd18c43a0
hex346f9b3b94

225210743700 has 72 divisors (see below), whose sum is σ = 672629448960. Its totient is φ = 58118899200.

The previous prime is 225210743689. The next prime is 225210743701. The reversal of 225210743700 is 7347012522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225210743701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12098805 + ... + 12117404.

It is an arithmetic number, because the mean of its divisors is an integer number (9342075680).

Almost surely, 2225210743700 is an apocalyptic number.

225210743700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225210743700 is an abundant number, since it is smaller than the sum of its proper divisors (447418705260).

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

225210743700 is a wasteful number, since it uses less digits than its factorization.

225210743700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24216257 (or 24216250 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 225210743700 in words is "two hundred twenty-five billion, two hundred ten million, seven hundred forty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 24216209 48432418 72648627 96864836 121081045 145297254 242162090 290594508 363243135 484324180 605405225 726486270 750702479 1210810450 1452972540 1501404958 1816215675 2252107437 2421620900 3002809916 3632431350 3753512395 4504214874 7264862700 7507024790 9008429748 11260537185 15014049580 18767561975 22521074370 37535123950 45042148740 56302685925 75070247900 112605371850 225210743700