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144902212 = 227213293753
BaseRepresentation
bin10001010001100…
…00100001000100
3101002122210110121
420220300201010
5244043332322
622213431324
73406435300
oct1050604104
9332583417
10144902212
11748801a4
124063b544
1324035770
141535cd00
15cac3ec7
hex8a30844

144902212 has 144 divisors (see below), whose sum is σ = 343874160. Its totient is φ = 52835328.

The previous prime is 144902207. The next prime is 144902239. The reversal of 144902212 is 212209441.

It can be written as a sum of positive squares in 8 ways, for example, as 3625216 + 141276996 = 1904^2 + 11886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733978 + ... + 2734030.

It is an arithmetic number, because the mean of its divisors is an integer number (2388015).

Almost surely, 2144902212 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 144902212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937080).

144902212 is an abundant number, since it is smaller than the sum of its proper divisors (198971948).

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

144902212 is a wasteful number, since it uses less digits than its factorization.

144902212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 144902212 is about 12037.5334682816. The cubic root of 144902212 is about 525.2406600349.

The spelling of 144902212 in words is "one hundred forty-four million, nine hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 29 37 49 52 53 58 74 91 98 106 116 148 182 196 203 212 259 364 371 377 406 481 518 637 689 742 754 812 962 1036 1073 1274 1378 1421 1484 1508 1537 1813 1924 1961 2146 2548 2597 2639 2756 2842 3074 3367 3626 3922 4292 4823 5194 5278 5684 6148 6734 7252 7511 7844 9646 10388 10556 10759 13468 13727 13949 15022 18473 19292 19981 21518 23569 25493 27454 27898 30044 33761 36946 39962 43036 47138 50986 52577 54908 55796 56869 67522 73892 75313 79924 94276 96089 97643 101972 105154 113738 135044 139867 150626 178451 192178 195286 210308 227476 279734 301252 356902 384356 390572 398083 559468 683501 713804 739297 796166 979069 1249157 1367002 1478594 1592332 1958138 2498314 2734004 2786581 2957188 3916276 4996628 5175079 5573162 10350158 11146324 20700316 36225553 72451106 144902212