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1214114132 = 22711311011259
BaseRepresentation
bin100100001011101…
…1110100101010100
310010121120101111002
41020113132211110
54441303123012
6320250402432
742041541230
oct11027364524
93117511432
101214114132
11573376a10
1229a730418
131646c683a
14b73655c0
15718c77c2
hex485de954

1214114132 has 96 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 452880000.

The previous prime is 1214114131. The next prime is 1214114183. The reversal of 1214114132 is 2314114121.

It is a super-2 number, since 2×12141141322 = 2948146251044226848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214114131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963719 + ... + 964977.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 21214114132 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 1214114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1214114132 is an abundant number, since it is smaller than the sum of its proper divisors (1549579948).

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

1214114132 is a wasteful number, since it uses less digits than its factorization.

1214114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1411 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 1214114132 is about 34844.1405691115. The cubic root of 1214114132 is about 1066.8085918358.

Adding to 1214114132 its reverse (2314114121), we get a palindrome (3528228253).

The spelling of 1214114132 in words is "one billion, two hundred fourteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 101 124 154 202 217 308 341 404 434 682 707 868 1111 1259 1364 1414 2222 2387 2518 2828 3131 4444 4774 5036 6262 7777 8813 9548 12524 13849 15554 17626 21917 27698 31108 34441 35252 39029 43834 55396 68882 78058 87668 96943 127159 137764 156116 193886 241087 254318 273203 387772 429319 482174 508636 546406 858638 890113 964348 1092812 1398749 1717276 1780226 2797498 3005233 3560452 3941929 5594996 6010466 7883858 9791243 12020932 15767716 19582486 27593503 39164972 43361219 55187006 86722438 110374012 173444876 303528533 607057066 1214114132