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225350700 = 223525314173
BaseRepresentation
bin11010110111010…
…01010000101100
3120201001000001020
431123221100230
5430142210300
634210014140
75404310061
oct1533512054
9521030036
10225350700
11106228353
1263577350
13378c2013
1421d00c68
1514bb58a0
hexd6e942c

225350700 has 72 divisors (see below), whose sum is σ = 664363728. Its totient is φ = 58955520.

The previous prime is 225350641. The next prime is 225350717. The reversal of 225350700 is 7053522.

225350700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8814 + ... + 22986.

It is an arithmetic number, because the mean of its divisors is an integer number (9227274).

Almost surely, 2225350700 is an apocalyptic number.

225350700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225350700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332181864).

225350700 is an abundant number, since it is smaller than the sum of its proper divisors (439013028).

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

225350700 is a wasteful number, since it uses less digits than its factorization.

225350700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14243 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 225350700 is about 15011.6854483432. The cubic root of 225350700 is about 608.5360397013.

The spelling of 225350700 in words is "two hundred twenty-five million, three hundred fifty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 14173 15900 28346 42519 56692 70865 85038 141730 170076 212595 283460 354325 425190 708650 751169 850380 1062975 1417300 1502338 2125950 2253507 3004676 3755845 4251900 4507014 7511690 9014028 11267535 15023380 18779225 22535070 37558450 45070140 56337675 75116900 112675350 225350700