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230473440 = 25325295519
BaseRepresentation
bin11011011110010…
…11111011100000
3121001200021010100
431233023323200
5433000122230
634511502400
75465664141
oct1557137340
9531607110
10230473440
1110910711a
1265227a00
1338996922
1422875ac8
1515378660
hexdbcbee0

230473440 has 144 divisors (see below), whose sum is σ = 813758400. Its totient is φ = 59329536.

The previous prime is 230473429. The next prime is 230473447. The reversal of 230473440 is 44374032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230473447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39001 + ... + 44519.

It is an arithmetic number, because the mean of its divisors is an integer number (5651100).

Almost surely, 2230473440 is an apocalyptic number.

230473440 is a gapful number since it is divisible by the number (20) 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 230473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

230473440 is an abundant number, since it is smaller than the sum of its proper divisors (583284960).

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

230473440 is a wasteful number, since it uses less digits than its factorization.

230473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 230473440 is about 15181.3517184736. The cubic root of 230473440 is about 613.1126752971.

The spelling of 230473440 in words is "two hundred thirty million, four hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 5519 6960 8352 10440 11038 13920 16557 20880 22076 27595 33114 41760 44152 49671 55190 66228 82785 88304 99342 110380 132456 160051 165570 176608 198684 220760 248355 264912 320102 331140 397368 441520 480153 496710 529824 640204 662280 794736 800255 883040 960306 993420 1280408 1324560 1440459 1589472 1600510 1920612 1986840 2400765 2560816 2649120 2880918 3201020 3841224 3973680 4801530 5121632 5761836 6402040 7202295 7682448 7947360 9603060 11523672 12804080 14404590 15364896 19206120 23047344 25608160 28809180 38412240 46094688 57618360 76824480 115236720 230473440