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214613490 = 235713127619
BaseRepresentation
bin11001100101010…
…11110111110010
3112221211111100210
430302223313302
5414420112430
633143524550
75214120210
oct1462536762
9487744323
10214613490
11100164323
125ba59756
1335602a40
1420707cb0
1513c942b0
hexccabdf2

214613490 has 128 divisors (see below), whose sum is σ = 639959040. Its totient is φ = 44851968.

The previous prime is 214613489. The next prime is 214613507. The reversal of 214613490 is 94316412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346401 + ... + 347019.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2214613490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214613490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520).

214613490 is an abundant number, since it is smaller than the sum of its proper divisors (425345550).

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

214613490 is a wasteful number, since it uses less digits than its factorization.

214613490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 214613490 is about 14649.6924882402. The cubic root of 214613490 is about 598.7134376786.

The spelling of 214613490 in words is "two hundred fourteen million, six hundred thirteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 127 130 182 195 210 254 273 381 390 455 546 619 635 762 889 910 1238 1270 1365 1651 1778 1857 1905 2667 2730 3095 3302 3714 3810 4333 4445 4953 5334 6190 8047 8255 8666 8890 9285 9906 11557 12999 13335 16094 16510 18570 21665 23114 24141 24765 25998 26670 34671 40235 43330 48282 49530 56329 57785 64995 69342 78613 80470 112658 115570 120705 129990 157226 168987 173355 235839 241410 281645 337974 346710 393065 471678 550291 563290 786130 844935 1021969 1100582 1179195 1650873 1689870 2043938 2358390 2751455 3065907 3301746 5109845 5502910 6131814 7153783 8254365 10219690 14307566 15329535 16508730 21461349 30659070 35768915 42922698 71537830 107306745 214613490