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2214117252 = 22321031813299
BaseRepresentation
bin1000001111111000…
…1011111110000100
312201022020210212200
42003332023332010
514013303223002
61003412114500
7105603454224
oct20376137604
95638223780
102214117252
11a368a2076
12519605a30
13293935269
141700b4084
15ce5a9b1c
hex83f8bf84

2214117252 has 72 divisors (see below), whose sum is σ = 5684078400. Its totient is φ = 726615360.

The previous prime is 2214117233. The next prime is 2214117293. The reversal of 2214117252 is 2527114122.

It is a happy number.

2214117252 is a `hidden beast` number, since 221 + 411 + 7 + 25 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 669499 + ... + 672797.

Almost surely, 22214117252 is an apocalyptic number.

It is an amenable number.

2214117252 is an abundant number, since it is smaller than the sum of its proper divisors (3469961148).

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

2214117252 is a wasteful number, since it uses less digits than its factorization.

2214117252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3588 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2214117252 is about 47054.4073599913. The cubic root of 2214117252 is about 1303.3674534158.

It can be divided in two parts, 22141 and 17252, that added together give a palindrome (39393).

The spelling of 2214117252 in words is "two billion, two hundred fourteen million, one hundred seventeen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 181 206 309 362 412 543 618 724 927 1086 1236 1629 1854 2172 3258 3299 3708 6516 6598 9897 13196 18643 19794 29691 37286 39588 55929 59382 74572 111858 118764 167787 223716 335574 339797 597119 671148 679594 1019391 1194238 1359188 1791357 2038782 2388476 3058173 3582714 4077564 5374071 6116346 7165428 10748142 12232692 21496284 61503257 123006514 184509771 246013028 369019542 553529313 738039084 1107058626 2214117252