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234853830 = 23453147199
BaseRepresentation
bin11011111111110…
…01010111000110
3121100220210220000
431333321113012
5440110310310
635145422130
75551140021
oct1577712706
9540823800
10234853830
11110629182
126679a946
133986b683
14232961b8
15159414c0
hexdff95c6

234853830 has 160 divisors (see below), whose sum is σ = 669081600. Its totient is φ = 59019840.

The previous prime is 234853819. The next prime is 234853841. The reversal of 234853830 is 38358432.

It is an interprime number because it is at equal distance from previous prime (234853819) and next prime (234853841).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1180071 + ... + 1180269.

It is an arithmetic number, because the mean of its divisors is an integer number (4181760).

Almost surely, 2234853830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234853830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334540800).

234853830 is an abundant number, since it is smaller than the sum of its proper divisors (434227770).

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

234853830 is a wasteful number, since it uses less digits than its factorization.

234853830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 234853830 is about 15324.9414354509. The cubic root of 234853830 is about 616.9726072210.

The spelling of 234853830 in words is "two hundred thirty-four million, eight hundred fifty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 47 54 62 81 90 93 94 135 141 155 162 186 199 235 270 279 282 310 398 405 423 465 470 558 597 705 810 837 846 930 995 1194 1269 1395 1410 1457 1674 1791 1990 2115 2511 2538 2790 2914 2985 3582 3807 4185 4230 4371 5022 5373 5970 6169 6345 7285 7614 8370 8742 8955 9353 10746 12338 12555 12690 13113 14570 16119 17910 18507 18706 19035 21855 25110 26226 26865 28059 30845 32238 37014 38070 39339 43710 46765 53730 55521 56118 61690 65565 78678 80595 84177 92535 93530 111042 118017 131130 140295 161190 166563 168354 185070 196695 236034 252531 277605 280590 289943 333126 393390 420885 499689 505062 555210 579886 590085 757593 832815 841770 869829 999378 1180170 1262655 1449715 1515186 1665630 1739658 2498445 2525310 2609487 2899430 3787965 4349145 4996890 5218974 7575930 7828461 8698290 13047435 15656922 23485383 26094870 39142305 46970766 78284610 117426915 234853830