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225214002 = 232132394027
BaseRepresentation
bin11010110110001…
…11111000110010
3120200210001112100
431123013320302
5430123322002
634203041230
75403200406
oct1533077062
9520701470
10225214002
11106144682
1263510216
1337874a30
1421ca7106
1514b8a11c
hexd6c7e32

225214002 has 48 divisors (see below), whose sum is σ = 527829120. Its totient is φ = 68989536.

The previous prime is 225213949. The next prime is 225214007. The reversal of 225214002 is 200412522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (225214007) 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, 53913 + ... + 57939.

It is an arithmetic number, because the mean of its divisors is an integer number (10996440).

Almost surely, 2225214002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225214002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263914560).

225214002 is an abundant number, since it is smaller than the sum of its proper divisors (302615118).

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

225214002 is a wasteful number, since it uses less digits than its factorization.

225214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225214002 is about 15007.1317046263. The cubic root of 225214002 is about 608.4129685868.

Adding to 225214002 its reverse (200412522), we get a palindrome (425626524).

The spelling of 225214002 in words is "two hundred twenty-five million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 239 478 717 1434 2151 3107 4027 4302 6214 8054 9321 12081 18642 24162 27963 36243 52351 55926 72486 104702 157053 314106 471159 942318 962453 1924906 2887359 5774718 8662077 12511889 17324154 25023778 37535667 75071334 112607001 225214002