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1214033172 = 22311217137359
BaseRepresentation
bin100100001011100…
…1010110100010100
310010121102021102120
41020113022310110
54441243030142
6320244535540
742041053212
oct11027126424
93117367376
101214033172
11573321100
1229a6b15b0
13164698a31
14b7343cb2
15718ad7ec
hex485cad14

1214033172 has 144 divisors (see below), whose sum is σ = 3330149760. Its totient is φ = 342763520.

The previous prime is 1214033141. The next prime is 1214033179. The reversal of 1214033172 is 2713304121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214033179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3381529 + ... + 3381887.

It is an arithmetic number, because the mean of its divisors is an integer number (23126040).

Almost surely, 21214033172 is an apocalyptic number.

1214033172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214033172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665074880).

1214033172 is an abundant number, since it is smaller than the sum of its proper divisors (2116116588).

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

1214033172 is a wasteful number, since it uses less digits than its factorization.

1214033172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1214033172 is about 34842.9788049185. The cubic root of 1214033172 is about 1066.7848788693.

Adding to 1214033172 its reverse (2713304121), we get a palindrome (3927337293).

The spelling of 1214033172 in words is "one billion, two hundred fourteen million, thirty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 137 187 204 242 274 359 363 374 411 484 548 561 718 726 748 822 1077 1122 1436 1452 1507 1644 2057 2154 2244 2329 3014 3949 4114 4308 4521 4658 6028 6103 6171 6987 7898 8228 9042 9316 11847 12206 12342 13974 15796 16577 18084 18309 23694 24412 24684 25619 27948 33154 36618 43439 47388 49183 49731 51238 66308 67133 73236 76857 86878 98366 99462 102476 130317 134266 147549 153714 173756 196732 198924 201399 260634 268532 281809 295098 307428 402798 521268 541013 563618 590196 738463 805596 836111 845427 1082026 1127236 1476926 1623039 1672222 1690854 2164052 2215389 2508333 2953852 3246078 3344444 3381708 4430778 5016666 5951143 6492156 8861556 9197221 10033332 11902286 17853429 18394442 23804572 27591663 35706858 36788884 55183326 71413716 101169431 110366652 202338862 303508293 404677724 607016586 1214033172