Search a number
-
+
2231856211580 = 225292673076451
BaseRepresentation
bin100000011110100100111…
…111110010011001111100
321220100210220012202102122
4200132210333302121330
5243031320142232310
64425144532142112
7320150322533342
oct40364477623174
97810726182378
102231856211580
11790585713276
12300670167938
1313260368a188
147a045725992
153d0c7ed9555
hex207a4ff267c

2231856211580 has 144 divisors (see below), whose sum is σ = 4943350828416. Its totient is φ = 846196243200.

The previous prime is 2231856211573. The next prime is 2231856211591. The reversal of 2231856211580 is 851126581322.

It is a super-3 number, since 3×22318562115803 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345967355 + ... + 345973805.

Almost surely, 22231856211580 is an apocalyptic number.

2231856211580 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 2231856211580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471675414208).

2231856211580 is an abundant number, since it is smaller than the sum of its proper divisors (2711494616836).

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

2231856211580 is a wasteful number, since it uses less digits than its factorization.

2231856211580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 2231856211580 in words is "two trillion, two hundred thirty-one billion, eight hundred fifty-six million, two hundred eleven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 307 335 580 614 670 841 1228 1340 1535 1682 1943 3070 3364 3886 4205 6140 6451 7772 8410 8903 9715 12902 16820 17806 19430 20569 25804 32255 35612 38860 41138 44515 56347 64510 82276 89030 102845 112694 129020 178060 187079 205690 225388 258187 281735 374158 411380 432217 516374 563470 596501 748316 864434 935395 1032748 1126940 1193002 1290935 1728868 1870790 1980457 2161085 2386004 2581870 2982505 3741580 3960914 4322170 5163740 5425291 5965010 7921828 8644340 9902285 10850582 11930020 12534293 17298529 19804570 21701164 25068586 27126455 34597058 39609140 50137172 54252910 57433253 62671465 69194116 86492645 108505820 114866506 125342930 132690619 172985290 229733012 250685860 265381238 287166265 345970580 363494497 530762476 574332530 663453095 726988994 1148665060 1326906190 1453977988 1665564337 1817472485 2653812380 3331128674 3634944970 3848027951 6662257348 7269889940 7696055902 8327821685 15392111804 16655643370 19240139755 33311286740 38480279510 76960559020 111592810579 223185621158 446371242316 557964052895 1115928105790 2231856211580