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214111044 = 2232773103113
BaseRepresentation
bin11001100001100…
…01001101000100
3112220212222010200
430300301031010
5414303023134
633125050500
75206625310
oct1460611504
9486788120
10214111044
11aa950884
125b856a30
1335488134
1420616b40
1513be5499
hexcc31344

214111044 has 144 divisors (see below), whose sum is σ = 638706432. Its totient is φ = 59222016.

The previous prime is 214111021. The next prime is 214111081. The reversal of 214111044 is 440111412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894732 + ... + 1894844.

Almost surely, 2214111044 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 214111044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319353216).

214111044 is an abundant number, since it is smaller than the sum of its proper divisors (424595388).

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

214111044 is a wasteful number, since it uses less digits than its factorization.

214111044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 214111044 is about 14632.5337518832. The cubic root of 214111044 is about 598.2458432212.

Adding to 214111044 its reverse (440111412), we get a palindrome (654222456).

The spelling of 214111044 in words is "two hundred fourteen million, one hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 103 113 126 146 206 219 226 252 292 309 339 412 438 452 511 618 657 678 721 791 876 927 1017 1022 1236 1314 1356 1442 1533 1582 1854 2034 2044 2163 2373 2628 2884 3066 3164 3708 4068 4326 4599 4746 6132 6489 7119 7519 8249 8652 9198 9492 11639 12978 14238 15038 16498 18396 22557 23278 24747 25956 28476 30076 32996 34917 45114 46556 49494 52633 57743 67671 69834 74241 81473 90228 98988 104751 105266 115486 135342 139668 148482 157899 162946 173229 209502 210532 230972 244419 270684 296964 315798 325892 346458 419004 473697 488838 519687 631596 692916 733257 849647 947394 977676 1039374 1466514 1699294 1894788 2078748 2548941 2933028 3398588 5097882 5947529 7646823 10195764 11895058 15293646 17842587 23790116 30587292 35685174 53527761 71370348 107055522 214111044