Search a number
-
+
214211556 = 2232132137257
BaseRepresentation
bin11001100010010…
…01101111100100
3112221002002000100
430301021233210
5414314232211
633131144100
75210524326
oct1461115744
9487062010
10214211556
11aaa0a349
125b8a5030
13354c1b00
1420641616
1513c15156
hexcc49be4

214211556 has 108 divisors (see below), whose sum is σ = 592913412. Its totient is φ = 65175552.

The previous prime is 214211551. The next prime is 214211563. The reversal of 214211556 is 655112412.

214211556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57600 + 214153956 = 240^2 + 14634^2 .

It is a super-2 number, since 2×2142115562 = 91773181447882272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 833380 + ... + 833636.

It is an arithmetic number, because the mean of its divisors is an integer number (5489939).

Almost surely, 2214211556 is an apocalyptic number.

214211556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214211556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296456706).

214211556 is an abundant number, since it is smaller than the sum of its proper divisors (378701856).

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

214211556 is a wasteful number, since it uses less digits than its factorization.

214211556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 214211556 is about 14635.9678873657. The cubic root of 214211556 is about 598.3394418173.

Adding to 214211556 its reverse (655112412), we get a palindrome (869323968).

The spelling of 214211556 in words is "two hundred fourteen million, two hundred eleven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 169 234 257 274 338 411 468 507 514 548 676 771 822 1014 1028 1233 1521 1542 1644 1781 2028 2313 2466 3042 3084 3341 3562 4626 4932 5343 6084 6682 7124 9252 10023 10686 13364 16029 20046 21372 23153 30069 32058 35209 40092 43433 46306 60138 64116 69459 70418 86866 92612 105627 120276 130299 138918 140836 173732 208377 211254 260598 277836 316881 390897 416754 422508 457717 521196 633762 781794 833508 915434 1267524 1373151 1563588 1830868 2746302 4119453 5492604 5950321 8238906 11900642 16477812 17850963 23801284 35701926 53552889 71403852 107105778 214211556