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213000225 = 35217231317
BaseRepresentation
bin11001011001000…
…10000000100001
3112211210112101020
430230202000201
5414012001400
633045200053
75164320624
oct1454420041
9484715336
10213000225
11aa262249
125b400029
1335189649
1420407dbb
1513a762a0
hexcb22021

213000225 has 72 divisors (see below), whose sum is σ = 387379968. Its totient is φ = 103142400.

The previous prime is 213000211. The next prime is 213000239. The reversal of 213000225 is 522000312.

It is an interprime number because it is at equal distance from previous prime (213000211) and next prime (213000239).

It is not a de Polignac number, because 213000225 - 27 = 213000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 671767 + ... + 672083.

Almost surely, 2213000225 is an apocalyptic number.

213000225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213000225 is a deficient number, since it is larger than the sum of its proper divisors (174379743).

213000225 is a wasteful number, since it uses less digits than its factorization.

213000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213000225 is about 14594.5272276974. The cubic root of 213000225 is about 597.2094722675.

Adding to 213000225 its reverse (522000312), we get a palindrome (735000537).

The spelling of 213000225 in words is "two hundred thirteen million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 15 17 25 31 51 75 85 93 155 255 289 317 425 465 527 775 867 951 1275 1445 1581 1585 2325 2635 4335 4755 5389 7225 7905 7925 8959 9827 13175 16167 21675 23775 26877 26945 29481 39525 44795 49135 80835 91613 134385 134725 147405 167059 223975 245675 274839 404175 458065 501177 671925 737025 835295 1374195 2290325 2505885 2840003 4176475 6870975 8520009 12529425 14200015 42600045 71000075 213000225