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214110330 = 235743131181
BaseRepresentation
bin11001100001100…
…01000001111010
3112220212221011020
430300301001322
5414303012310
633125043310
75206623240
oct1460610172
9486787136
10214110330
11aa950295
125b856536
1335487a05
1420616790
1513be5170
hexcc3107a

214110330 has 128 divisors (see below), whose sum is σ = 608864256. Its totient is φ = 47174400.

The previous prime is 214110319. The next prime is 214110343. The reversal of 214110330 is 33011412.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1182840 + ... + 1183020.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752).

Almost surely, 2214110330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304432128).

214110330 is an abundant number, since it is smaller than the sum of its proper divisors (394753926).

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

214110330 is a wasteful number, since it uses less digits than its factorization.

214110330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 214110330 is about 14632.5093541744. The cubic root of 214110330 is about 598.2451782266.

Adding to 214110330 its reverse (33011412), we get a palindrome (247121742).

The spelling of 214110330 in words is "two hundred fourteen million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 131 181 210 215 258 262 301 362 393 430 543 602 645 655 786 903 905 917 1086 1267 1290 1310 1505 1806 1810 1834 1965 2534 2715 2751 3010 3801 3930 4515 4585 5430 5502 5633 6335 7602 7783 9030 9170 11266 12670 13755 15566 16899 19005 23349 23711 27510 28165 33798 38010 38915 39431 46698 47422 54481 56330 71133 77830 78862 84495 108962 116745 118293 118555 142266 163443 165977 168990 197155 233490 236586 237110 272405 326886 331954 355665 394310 497931 544810 591465 711330 817215 829885 995862 1019573 1182930 1634430 1659770 2039146 2489655 3058719 4979310 5097865 6117438 7137011 10195730 14274022 15293595 21411033 30587190 35685055 42822066 71370110 107055165 214110330