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1214131224 = 233179409691
BaseRepresentation
bin100100001011110…
…0010110000011000
310010121121020221010
41020113202300120
54441304144344
6320251013520
742041642115
oct11027426030
93117536833
101214131224
11573388839
1229a73a2a0
13164701557
14b736b90c
15718cc8b9
hex485e2c18

1214131224 has 64 divisors (see below), whose sum is σ = 3064176000. Its totient is φ = 400884480.

The previous prime is 1214131189. The next prime is 1214131229. The reversal of 1214131224 is 4221314121.

It is a super-2 number, since 2×12141312242 = 2948229258183476352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1214131224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214131229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756719 + ... + 1757409.

It is an arithmetic number, because the mean of its divisors is an integer number (47877750).

Almost surely, 21214131224 is an apocalyptic number.

It is an amenable number.

1214131224 is an abundant number, since it is smaller than the sum of its proper divisors (1850044776).

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

1214131224 is a wasteful number, since it uses less digits than its factorization.

1214131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1214131224 is about 34844.3858318668. The cubic root of 1214131224 is about 1066.8135979019.

Adding to 1214131224 its reverse (4221314121), we get a palindrome (5435445345).

It can be divided in two parts, 12141 and 31224, that added together give a triangular number (43365 = T294).

The spelling of 1214131224 in words is "one billion, two hundred fourteen million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 179 358 409 537 691 716 818 1074 1227 1382 1432 1636 2073 2148 2454 2764 3272 4146 4296 4908 5528 8292 9816 16584 73211 123689 146422 219633 247378 282619 292844 371067 439266 494756 565238 585688 742134 847857 878532 989512 1130476 1484268 1695714 1757064 2260952 2968536 3391428 6782856 50588801 101177602 151766403 202355204 303532806 404710408 607065612 1214131224