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225732462000 = 24353291297313
BaseRepresentation
bin1101001000111010110…
…1000000010110110000
3210120122200110012021120
43102032231000112300
512144300002241000
6251411114022240
722210601161053
oct3221655002660
9716580405246
10225732462000
11878070a9821
12378b9417980
131839551c556
14acd5852a9a
155d125cc6a0
hex348eb405b0

225732462000 has 160 divisors (see below), whose sum is σ = 752857260480. Its totient is φ = 58119577600.

The previous prime is 225732461993. The next prime is 225732462001. The reversal of 225732462000 is 264237522.

225732462000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225732462001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474657 + ... + 822656.

It is an arithmetic number, because the mean of its divisors is an integer number (4705357878).

Almost surely, 2225732462000 is an apocalyptic number.

225732462000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225732462000 is an abundant number, since it is smaller than the sum of its proper divisors (527124798480).

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

225732462000 is a wasteful number, since it uses less digits than its factorization.

225732462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297368 (or 1297352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

Adding to 225732462000 its reverse (264237522), we get a palindrome (225996699522).

The spelling of 225732462000 in words is "two hundred twenty-five billion, seven hundred thirty-two million, four hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 1297313 2594626 3891939 5189252 6486565 7783878 10378504 12973130 15567756 19459695 20757008 25946260 31135512 32432825 37622077 38919390 51892520 62271024 64865650 75244154 77838780 97298475 103785040 112866231 129731300 150488308 155677560 162164125 188110385 194596950 225732462 259462600 300976616 311355120 324328250 376220770 389193900 451464924 486492375 518925200 564331155 601953232 648656500 752441540 778387800 902929848 940551925 972984750 1128662310 1297313000 1504883080 1556775600 1805859696 1881103850 1945969500 2257324620 2594626000 2821655775 3009766160 3762207700 3891939000 4514649240 4702759625 5643311550 7524415400 7783878000 9029298480 9405519250 11286623100 14108278875 15048830800 18811038500 22573246200 28216557750 37622077000 45146492400 56433115500 75244154000 112866231000 225732462000