Search a number
-
+
214211112552 = 233229383267863
BaseRepresentation
bin1100011101111111111…
…0100010111001101000
3202110220202000000001100
43013133332202321220
512002201021100202
6242223543321400
721322231262013
oct3073776427150
9673822000040
10214211112552
1182934652418
1235622a50260
131727a5a6408
14a52163037a
15588ada941c
hex31dffa2e68

214211112552 has 96 divisors (see below), whose sum is σ = 601729689600. Its totient is φ = 68761246848.

The previous prime is 214211112551. The next prime is 214211112593. The reversal of 214211112552 is 255211112412.

It is a super-2 number, since 2×2142111125522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214211112551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665773 + ... + 933635.

It is an arithmetic number, because the mean of its divisors is an integer number (6268017600).

Almost surely, 2214211112552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214211112552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300864844800).

214211112552 is an abundant number, since it is smaller than the sum of its proper divisors (387518577048).

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

214211112552 is a wasteful number, since it uses less digits than its factorization.

214211112552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268287 (or 268280 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 214211112552 its reverse (255211112412), we get a palindrome (469422224964).

The spelling of 214211112552 in words is "two hundred fourteen billion, two hundred eleven million, one hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 383 522 696 766 1044 1149 1532 2088 2298 3064 3447 4596 6894 9192 11107 13788 22214 27576 33321 44428 66642 88856 99963 133284 199926 266568 267863 399852 535726 799704 803589 1071452 1607178 2142904 2410767 3214356 4821534 6428712 7768027 9643068 15536054 19286136 23304081 31072108 46608162 62144216 69912243 93216324 102591529 139824486 186432648 205183058 279648972 307774587 410366116 559297944 615549174 820732232 923323761 1231098348 1846647522 2462196696 2975154341 3693295044 5950308682 7386590088 8925463023 11900617364 17850926046 23801234728 26776389069 35701852092 53552778138 71403704184 107105556276 214211112552