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1331432214 = 237217271983
BaseRepresentation
bin100111101011100…
…0000101100010110
310102210022202122020
41033113000230112
510211321312324
6340041114010
744664662400
oct11727005426
93383282566
101331432214
11623616802
12311a88906
13182ac1b18
14c8b83b70
157bd4d679
hex4f5c0b16

1331432214 has 96 divisors (see below), whose sum is σ = 3295282176. Its totient is φ = 356348160.

The previous prime is 1331432213. The next prime is 1331432227. The reversal of 1331432214 is 4122341331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331432213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353967 + ... + 1354949.

It is an arithmetic number, because the mean of its divisors is an integer number (34325856).

Almost surely, 21331432214 is an apocalyptic number.

1331432214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647641088).

1331432214 is an abundant number, since it is smaller than the sum of its proper divisors (1963849962).

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

1331432214 is a wasteful number, since it uses less digits than its factorization.

1331432214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1331432214 is about 36488.7957323889. The cubic root of 1331432214 is about 1100.1190543318.

Adding to 1331432214 its reverse (4122341331), we get a palindrome (5453773545).

The spelling of 1331432214 in words is "one billion, three hundred thirty-one million, four hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 271 294 357 542 714 813 833 983 1626 1666 1897 1966 2499 2949 3794 4607 4998 5691 5898 6881 9214 11382 13279 13762 13821 16711 20643 26558 27642 32249 33422 39837 41286 48167 50133 64498 79674 96334 96747 100266 116977 144501 193494 225743 233954 266393 289002 350931 451486 532786 677229 701862 799179 818839 1354458 1598358 1637678 1864751 2456517 3729502 4528681 4913034 5594253 9057362 11188506 13053257 13586043 26106514 27172086 31700767 39159771 63401534 78319542 95102301 190204602 221905369 443810738 665716107 1331432214