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214222440312 = 233323127733767
BaseRepresentation
bin1100011110000010100…
…1110000011101111000
3202110221112022111211000
43013200221300131320
512002211421042222
6242225030205000
721322426461366
oct3074051603570
9673845274730
10214222440312
118293aa8a101
12356267b3760
131727ca4142a
14a522d3c636
15588bd959ac
hex31e0a70778

214222440312 has 128 divisors (see below), whose sum is σ = 621439257600. Its totient is φ = 68247298944.

The previous prime is 214222440307. The next prime is 214222440347. The reversal of 214222440312 is 213044222412.

It is a happy number.

214222440312 is a `hidden beast` number, since 21 + 4 + 2 + 224 + 403 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6327253 + ... + 6361019.

It is an arithmetic number, because the mean of its divisors is an integer number (4854994200).

Almost surely, 2214222440312 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 214222440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310719628800).

214222440312 is an abundant number, since it is smaller than the sum of its proper divisors (407216817288).

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

214222440312 is a wasteful number, since it uses less digits than its factorization.

214222440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35082 (or 35072 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214222440312 its reverse (213044222412), we get a palindrome (427266662724).

The spelling of 214222440312 in words is "two hundred fourteen billion, two hundred twenty-two million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1277 1656 2484 2554 3831 4968 5108 7662 10216 11493 15324 22986 29371 30648 33767 34479 45972 58742 67534 68958 88113 91944 101301 117484 135068 137916 176226 202602 234968 264339 270136 275832 303903 352452 405204 528678 607806 704904 776641 793017 810408 911709 1057356 1215612 1553282 1586034 1823418 2114712 2329923 2431224 3106564 3172068 3646836 4659846 6213128 6344136 6989769 7293672 9319692 13979538 18639384 20969307 27959076 41938614 43120459 55918152 83877228 86240918 129361377 167754456 172481836 258722754 344963672 388084131 517445508 776168262 991770557 1034891016 1164252393 1552336524 1983541114 2328504786 2975311671 3104673048 3967082228 4657009572 5950623342 7934164456 8925935013 9314019144 11901246684 17851870026 23802493368 26777805039 35703740052 53555610078 71407480104 107111220156 214222440312