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214329004722 = 233731106117239
BaseRepresentation
bin1100011110011100000…
…0010001001010110010
3202111012221211112201000
43013213000101022302
512002421211122342
6242243354222430
721325162323660
oct3074700211262
9674187745630
10214329004722
1182995154568
1235656424a16
1317298b42ab1
14a53315bc30
1558963e544c
hex31e70112b2

214329004722 has 128 divisors (see below), whose sum is σ = 562448793600. Its totient is φ = 59202187200.

The previous prime is 214329004697. The next prime is 214329004733. The reversal of 214329004722 is 227400923412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12424179 + ... + 12441417.

It is an arithmetic number, because the mean of its divisors is an integer number (4394131200).

Almost surely, 2214329004722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214329004722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281224396800).

214329004722 is an abundant number, since it is smaller than the sum of its proper divisors (348119788878).

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

214329004722 is a wasteful number, since it uses less digits than its factorization.

214329004722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349 (or 18343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 214329004722 in words is "two hundred fourteen billion, three hundred twenty-nine million, four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1061 1302 1674 1953 2122 3183 3906 5859 6366 7427 9549 11718 14854 17239 19098 22281 28647 32891 34478 44562 51717 57294 65782 66843 98673 103434 120673 133686 155151 197346 200529 230237 241346 296019 310302 362019 401058 460474 465453 534409 592038 690711 724038 888057 930906 1068818 1086057 1381422 1603227 1776114 2072133 2172114 3206454 3258171 3740863 4144266 4809681 6216399 6516342 7481726 9619362 11222589 12432798 14429043 18290579 22445178 28858086 33667767 36581158 54871737 67335534 101003301 109743474 128034053 164615211 202006602 256068106 329230422 384102159 493845633 567007949 768204318 987691266 1134015898 1152306477 1701023847 2304612954 3402047694 3456919431 3969055643 5103071541 6913838862 7938111286 10206143082 11907166929 15309214623 23814333858 30618429246 35721500787 71443001574 107164502361 214329004722