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213002214 = 231747157283
BaseRepresentation
bin11001011001000…
…10011111100110
3112211210122002220
430230202133212
5414012032324
633045213210
75164326465
oct1454423746
9484718086
10213002214
11aa263797
125b401206
133518a519
14204089dc
1513a76b79
hexcb227e6

213002214 has 64 divisors (see below), whose sum is σ = 465232896. Its totient is φ = 64756224.

The previous prime is 213002191. The next prime is 213002221. The reversal of 213002214 is 412200312.

213002214 is a modest number, since divided by 2214 gives 2130 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213002193 and 213002202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752517 + ... + 752799.

It is an arithmetic number, because the mean of its divisors is an integer number (7269264).

Almost surely, 2213002214 is an apocalyptic number.

213002214 is an abundant number, since it is smaller than the sum of its proper divisors (252230682).

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

213002214 is a wasteful number, since it uses less digits than its factorization.

213002214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213002214 is about 14594.5953695195. The cubic root of 213002214 is about 597.2113311794.

Adding to 213002214 its reverse (412200312), we get a palindrome (625202526).

The spelling of 213002214 in words is "two hundred thirteen million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 34 47 51 94 102 141 157 282 283 314 471 566 799 849 942 1598 1698 2397 2669 4794 4811 5338 7379 8007 9622 13301 14433 14758 16014 22137 26602 28866 39903 44274 44431 79806 88862 125443 133293 226117 250886 266586 376329 452234 678351 752658 755327 1356702 1510654 2088257 2265981 4176514 4531962 6264771 12529542 35500369 71000738 106501107 213002214