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114235002 = 23371729613
BaseRepresentation
bin1101100111100…
…01011001111010
321221221201222000
412303301121322
5213221010002
615200241430
72554660440
oct663613172
9257851860
10114235002
11595344a2
1232310276
131a888b9b
1411258b90
15a06761c
hex6cf167a

114235002 has 128 divisors (see below), whose sum is σ = 318297600. Its totient is φ = 29611008.

The previous prime is 114235001. The next prime is 114235003. The reversal of 114235002 is 200532411.

It is an interprime number because it is at equal distance from previous prime (114235001) and next prime (114235003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114235001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186048 + ... + 186660.

It is an arithmetic number, because the mean of its divisors is an integer number (2486700).

Almost surely, 2114235002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114235002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159148800).

114235002 is an abundant number, since it is smaller than the sum of its proper divisors (204062598).

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

114235002 is a wasteful number, since it uses less digits than its factorization.

114235002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114235002 is about 10688.0775633413. The cubic root of 114235002 is about 485.2137110382.

Adding to 114235002 its reverse (200532411), we get a palindrome (314767413).

The spelling of 114235002 in words is "one hundred fourteen million, two hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 29 34 42 51 54 58 63 87 102 119 126 153 174 189 203 238 261 306 357 378 406 459 493 522 609 613 714 783 918 986 1071 1218 1226 1479 1566 1827 1839 2142 2958 3213 3451 3654 3678 4291 4437 5481 5517 6426 6902 8582 8874 10353 10421 10962 11034 12873 13311 16551 17777 20706 20842 25746 26622 31059 31263 33102 35554 38619 53331 62118 62526 72947 77238 93177 93789 106662 115857 124439 145894 159993 186354 187578 218841 231714 248878 281367 302209 319986 373317 437682 479979 562734 604418 656523 746634 906627 959958 1119951 1313046 1813254 1969569 2115463 2239902 2719881 3359853 3939138 4230926 5439762 6346389 6719706 8159643 12692778 16319286 19039167 38078334 57117501 114235002