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214410200229 = 3610722712109
BaseRepresentation
bin1100011110101111011…
…0000000010010100101
3202111102121121201000000
43013223312000102211
512003103002401404
6242255414411513
721330166426401
oct3075366002245
9674377551000
10214410200229
1182a26a71995
1235679660b99
13172ac901384
14a53dc56101
15589d5d3339
hex31ebd804a5

214410200229 has 56 divisors (see below), whose sum is σ = 325928927520. Its totient is φ = 140968794528.

The previous prime is 214410200219. The next prime is 214410200243. The reversal of 214410200229 is 922002014412.

214410200229 is a `hidden beast` number, since 2 + 1 + 4 + 410 + 20 + 0 + 229 = 666.

It is not a de Polignac number, because 214410200229 - 211 = 214410198181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214410200209) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17700627 + ... + 17712735.

It is an arithmetic number, because the mean of its divisors is an integer number (5820159420).

Almost surely, 2214410200229 is an apocalyptic number.

It is an amenable number.

214410200229 is a deficient number, since it is larger than the sum of its proper divisors (111518727291).

214410200229 is a wasteful number, since it uses less digits than its factorization.

214410200229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12461 (or 12446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 214410200229 in words is "two hundred fourteen billion, four hundred ten million, two hundred thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 81 107 227 243 321 681 729 963 2043 2889 6129 8667 12109 18387 24289 26001 36327 55161 72867 78003 108981 165483 218601 326943 655803 980829 1295663 1967409 2748743 2942487 3886989 5902227 8246229 8827461 11660967 17706681 24738687 34982901 74216061 104948703 222648183 294115501 314846109 667944549 882346503 944538327 2003833647 2647039509 7941118527 23823355581 71470066743 214410200229