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2232310590 = 234547191307
BaseRepresentation
bin1000010100001110…
…0101101100111110
312202120111010110000
42011003211230332
514032432414330
61005302055130
7106214220066
oct20503455476
95676433400
102232310590
11a46098a94
1252371a4a6
13297635253
1417268c3a6
15d0ea0560
hex850e5b3e

2232310590 has 160 divisors (see below), whose sum is σ = 6182313984. Its totient is φ = 577679040.

The previous prime is 2232310573. The next prime is 2232310601. The reversal of 2232310590 is 950132322.

2232310590 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22323105903 (a number of 29 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 (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7271217 + ... + 7271523.

Almost surely, 22232310590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232310590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091156992).

2232310590 is an abundant number, since it is smaller than the sum of its proper divisors (3950003394).

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

2232310590 is a wasteful number, since it uses less digits than its factorization.

2232310590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2232310590 is about 47247.3342105139. The cubic root of 2232310590 is about 1306.9276308596.

The spelling of 2232310590 in words is "two billion, two hundred thirty-two million, three hundred ten thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 191 235 270 282 307 382 405 423 470 573 614 705 810 846 921 955 1146 1269 1410 1535 1719 1842 1910 2115 2538 2763 2865 3070 3438 3807 4230 4605 5157 5526 5730 6345 7614 8289 8595 8977 9210 10314 12690 13815 14429 15471 16578 17190 17954 19035 24867 25785 26931 27630 28858 30942 38070 41445 43287 44885 49734 51570 53862 58637 72145 77355 80793 82890 86574 89770 117274 124335 129861 134655 144290 154710 161586 175911 216435 242379 248670 259722 269310 293185 351822 389583 403965 432870 484758 527733 586370 649305 727137 779166 807930 879555 1055466 1168749 1211895 1298610 1454274 1583199 1759110 1947915 2337498 2423790 2638665 2755939 3166398 3635685 3895830 4749597 5277330 5511878 5843745 7271370 7915995 8267817 9499194 11687490 13779695 15831990 16535634 23747985 24803451 27559390 41339085 47495970 49606902 74410353 82678170 124017255 148820706 223231059 248034510 372051765 446462118 744103530 1116155295 2232310590