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235014302152 = 23723756928477
BaseRepresentation
bin1101101011011111110…
…0011010100111001000
3211110121112212112022001
43122313330122213020
512322302130132102
6255544124040344
722656605415400
oct3326774324710
9743545775261
10235014302152
119073a4a06a3
12396699930b4
13192144ac966
14b536471800
1561a73cc487
hex36b7f1a9c8

235014302152 has 96 divisors (see below), whose sum is σ = 527392625400. Its totient is φ = 97822577664.

The previous prime is 235014302123. The next prime is 235014302161. The reversal of 235014302152 is 251203410532.

It can be written as a sum of positive squares in 4 ways, for example, as 203107054276 + 31907247876 = 450674^2 + 178626^2 .

It is a super-3 number, since 3×2350143021523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 235014302152.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8238538 + ... + 8267014.

Almost surely, 2235014302152 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 235014302152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263696312700).

235014302152 is an abundant number, since it is smaller than the sum of its proper divisors (292378323248).

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

235014302152 is a wasteful number, since it uses less digits than its factorization.

235014302152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29103 (or 29092 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 235014302152 its reverse (251203410532), we get a palindrome (486217712684).

It can be divided in two parts, 235014 and 302152, that added together give a triangular number (537166 = T1036).

The spelling of 235014302152 in words is "two hundred thirty-five billion, fourteen million, three hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 569 1036 1138 1813 2072 2276 3626 3983 4552 7252 7966 14504 15932 21053 27881 28477 31864 42106 55762 56954 84212 111524 113908 147371 168424 199339 223048 227816 294742 398678 589484 797356 1031597 1053649 1178968 1395373 1594712 2063194 2107298 2790746 4126388 4214596 5581492 7375543 8252776 8429192 11162984 14751086 16203413 29502172 32406826 51628801 59004344 64813652 103257602 113423891 129627304 206515204 226847782 413030408 453695564 599526281 793967237 907391128 1199052562 1587934474 2398105124 3175868948 4196683967 4796210248 6351737896 8393367934 16786735868 29376787769 33573471736 58753575538 117507151076 235014302152