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234057602025 = 34521328272
BaseRepresentation
bin1101100111111011101…
…0111001001111101001
3211101010212200010110000
43121332322321033221
512313322221231100
6255305150413213
722624110535242
oct3317672711751
9741125603400
10234057602025
1190299461735
1239441501209
13190c1223300
14b485395cc9
15614d400900
hex367eeb93e9

234057602025 has 135 divisors (see below), whose sum is σ = 470039801781. Its totient is φ = 115089024960.

The previous prime is 234057601963. The next prime is 234057602057. The reversal of 234057602025 is 520206750432.

The square root of 234057602025 is 483795.

It is a perfect power (a square), and thus also a powerful number.

234057602025 is a `hidden beast` number, since 2 + 3 + 40 + 5 + 7 + 602 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60328693161 + 173728908864 = 245619^2 + 416808^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 234057602025 - 29 = 234057601513 is a prime.

It is a super-2 number, since 2×2340576020252 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 283019662 + ... + 283020488.

Almost surely, 2234057602025 is an apocalyptic number.

234057602025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

234057602025 is the 483795-th square number.

234057602025 is the 241898-th centered octagonal number.

It is an amenable number.

234057602025 is an abundant number, since it is smaller than the sum of its proper divisors (235982199756).

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

234057602025 is an frugal number, since it uses more digits than its factorization.

234057602025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 234057602025 by its sum of digits (36), we get a square (8426073672900 = 29027702).

The spelling of 234057602025 in words is "two hundred thirty-four billion, fifty-seven million, six hundred two thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 827 845 975 1053 1521 1755 2025 2481 2535 2925 4135 4225 4563 5265 7443 7605 8775 10751 12405 12675 13689 20675 22329 22815 26325 32253 37215 38025 53755 62025 66987 68445 96759 111645 114075 139763 161265 186075 268775 290277 334935 342225 419289 483795 558225 683929 698815 806325 870831 1257867 1451385 1674675 2051787 2096445 2418975 3419645 3494075 3773601 4354155 6155361 6289335 7256925 8891077 10258935 10482225 11320803 17098225 18466083 18868005 21770775 26673231 30776805 31446675 44455385 51294675 55398249 56604015 80019693 92330415 94340025 115584001 133366155 153884025 222276925 240059079 276991245 283020075 346752003 400098465 461652075 577920005 666830775 720177237 1040256009 1200295395 1384956225 1733760015 2000492325 2889600025 3120768027 3600886185 5201280045 6001476975 8668800075 9362304081 15603840135 18004430925 26006400225 46811520405 78019200675 234057602025