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214218928 = 24711317179
BaseRepresentation
bin11001100010010…
…11100010110000
3112221002110010101
430301023202300
5414320001203
633131242144
75210554660
oct1461134260
9487073111
10214218928
11aaa14940
125b8a9354
13354c5281
14206441a0
1513c1741d
hexcc4b8b0

214218928 has 160 divisors (see below), whose sum is σ = 548536320. Its totient is φ = 78624000.

The previous prime is 214218919. The next prime is 214218931. The reversal of 214218928 is 829812412.

It is a happy number.

It is a super-2 number, since 2×2142189282 = 91779498226938368, which contains 22 as substring.

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, 2711593 + ... + 2711671.

It is an arithmetic number, because the mean of its divisors is an integer number (3428352).

Almost surely, 2214218928 is an apocalyptic number.

214218928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214218928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

214218928 is an abundant number, since it is smaller than the sum of its proper divisors (334317392).

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

214218928 is a wasteful number, since it uses less digits than its factorization.

214218928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 214218928 is about 14636.2197305178. The cubic root of 214218928 is about 598.3463056047.

The spelling of 214218928 in words is "two hundred fourteen million, two hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 71 77 79 88 112 124 142 154 158 176 217 248 284 308 316 341 434 496 497 553 568 616 632 682 781 868 869 994 1106 1136 1232 1264 1364 1562 1736 1738 1988 2201 2212 2387 2449 2728 3124 3472 3476 3976 4402 4424 4774 4898 5456 5467 5609 6083 6248 6952 7952 8804 8848 9548 9796 10934 11218 12166 12496 13904 15407 17143 17608 19096 19592 21868 22436 24211 24332 26939 30814 34286 35216 38192 39184 39263 43736 44872 48422 48664 53878 61628 61699 68572 78526 87472 89744 96844 97328 107756 123256 123398 137144 157052 169477 173879 188573 193688 215512 246512 246796 274288 314104 338954 347758 377146 387376 431024 431893 493592 628208 677908 695516 754292 863786 987184 1217153 1355816 1391032 1508584 1727572 1912669 2434306 2711632 2782064 3017168 3455144 3825338 4868612 6910288 7650676 9737224 13388683 15301352 19474448 26777366 30602704 53554732 107109464 214218928