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2214505404 = 2232192832053
BaseRepresentation
bin1000001111111110…
…1010101110111100
312201022222112022200
42003333222232330
514013403133104
61003424311500
7105606661656
oct20377525674
95638875280
102214505404
11a37037761
12519772590
13293a3cb37
141701756d6
15ce634b39
hex83feabbc

2214505404 has 108 divisors (see below), whose sum is σ = 5981995656. Its totient is φ = 690555456.

The previous prime is 2214505399. The next prime is 2214505417. The reversal of 2214505404 is 4045054122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1077642 + ... + 1079694.

Almost surely, 22214505404 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 2214505404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990997828).

2214505404 is an abundant number, since it is smaller than the sum of its proper divisors (3767490252).

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

2214505404 is a wasteful number, since it uses less digits than its factorization.

2214505404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2214505404 is about 47058.5316813009. The cubic root of 2214505404 is about 1303.4436124544.

Adding to 2214505404 its reverse (4045054122), we get a palindrome (6259559526).

The spelling of 2214505404 in words is "two billion, two hundred fourteen million, five hundred five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 361 498 684 722 747 996 1083 1444 1494 1577 2053 2166 2988 3154 3249 4106 4332 4731 6159 6308 6498 8212 9462 12318 12996 14193 18477 18924 24636 28386 29963 36954 39007 56772 59926 73908 78014 89889 117021 119852 156028 170399 179778 234042 269667 340798 351063 359556 468084 511197 539334 681596 702126 741133 1022394 1078668 1404252 1482266 1533591 2044788 2223399 2964532 3067182 3237581 4446798 6134364 6475162 6670197 8893596 9712743 12950324 13340394 19425486 26680788 29138229 38850972 58276458 61514039 116552916 123028078 184542117 246056156 369084234 553626351 738168468 1107252702 2214505404