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213014450 = 252112137257
BaseRepresentation
bin11001011001001…
…01011110110010
3112211211020220002
430230211132302
5414012430300
633045350002
75164410245
oct1454453662
9484736802
10213014450
11aa271a00
125b408302
1335192c6c
142040d25c
1513a7a5d5
hexcb257b2

213014450 has 72 divisors (see below), whose sum is σ = 440385876. Its totient is φ = 76595200.

The previous prime is 213014447. The next prime is 213014479. The reversal of 213014450 is 54410312.

It can be written as a sum of positive squares in 6 ways, for example, as 154231561 + 58782889 = 12419^2 + 7667^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 828722 + ... + 828978.

Almost surely, 2213014450 is an apocalyptic number.

213014450 is an abundant number, since it is smaller than the sum of its proper divisors (227371426).

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

213014450 is a wasteful number, since it uses less digits than its factorization.

213014450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 213014450 is about 14595.0145597735. The cubic root of 213014450 is about 597.2227666441. Note that the first 3 decimals are identical.

Adding to 213014450 its reverse (54410312), we get a palindrome (267424762).

The spelling of 213014450 in words is "two hundred thirteen million, fourteen thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 137 242 257 274 275 514 550 605 685 1210 1285 1370 1507 2570 2827 3014 3025 3425 5654 6050 6425 6850 7535 12850 14135 15070 16577 28270 31097 33154 35209 37675 62194 70418 70675 75350 82885 141350 155485 165770 176045 310970 352090 387299 414425 774598 777425 828850 880225 1554850 1760450 1936495 3872990 4260289 8520578 9682475 19364950 21301445 42602890 106507225 213014450