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214223331132 = 2232531024710957
BaseRepresentation
bin1100011110000010110…
…1001001111100111100
3202110221120222202210100
43013200231021330330
512002212133044012
6242225101241100
721322440161466
oct3074055117474
9673846882710
10214223331132
1182940538418
1235626b63190
131727cc93a45
14a5230d1136
15588bebe8dc
hex31e0b49f3c

214223331132 has 72 divisors (see below), whose sum is σ = 551830327776. Its totient is φ = 70047229824.

The previous prime is 214223331109. The next prime is 214223331137. The reversal of 214223331132 is 231133322412.

214223331132 is a `hidden beast` number, since 214 + 2 + 2 + 333 + 113 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214223331096 and 214223331105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223331137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19545798 + ... + 19556754.

It is an arithmetic number, because the mean of its divisors is an integer number (7664310108).

Almost surely, 2214223331132 is an apocalyptic number.

It is an amenable number.

214223331132 is an abundant number, since it is smaller than the sum of its proper divisors (337606996644).

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

214223331132 is a wasteful number, since it uses less digits than its factorization.

214223331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21267 (or 21262 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 214223331132 its reverse (231133322412), we get a palindrome (445356653544).

The spelling of 214223331132 in words is "two hundred fourteen billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 10247 10957 20494 21914 30741 32871 40988 43828 61482 65742 92223 98613 122964 131484 184446 197226 368892 394452 543091 580721 1086182 1161442 1629273 1742163 2172364 2322884 3258546 3484326 4887819 5226489 6517092 6968652 9775638 10452978 19551276 20905956 112276379 224552758 336829137 449105516 673658274 1010487411 1347316548 2020974822 4041949644 5950648087 11901296174 17851944261 23802592348 35703888522 53555832783 71407777044 107111665566 214223331132