Search a number
-
+
2215134132660 = 22325131516718181
BaseRepresentation
bin100000001111000000010…
…010000111100110110100
321211202122111200010120100
4200033000102013212310
5242243043314221120
64413341340034100
7316016042313561
oct40170022074664
97752574603510
102215134132660
11784484518939
122b9383b32930
13130b6a134117
14792da90d868
153c949e0e490
hex203c04879b4

2215134132660 has 144 divisors (see below), whose sum is σ = 6772214921472. Its totient is φ = 586047571200.

The previous prime is 2215134132647. The next prime is 2215134132697. The reversal of 2215134132660 is 662314315122.

2215134132660 is a `hidden beast` number, since 2 + 2 + 1 + 51 + 341 + 3 + 266 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121828770 + ... + 121846950.

It is an arithmetic number, because the mean of its divisors is an integer number (47029270288).

Almost surely, 22215134132660 is an apocalyptic number.

2215134132660 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 2215134132660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386107460736).

2215134132660 is an abundant number, since it is smaller than the sum of its proper divisors (4557080788812).

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

2215134132660 is a wasteful number, since it uses less digits than its factorization.

2215134132660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23494 (or 23489 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2215134132660 its reverse (662314315122), we get a palindrome (2877448447782).

The spelling of 2215134132660 in words is "two trillion, two hundred fifteen billion, one hundred thirty-four million, one hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5167 5895 7860 10334 11790 15501 18181 20668 23580 25835 31002 36362 46503 51670 54543 62004 72724 77505 90905 93006 103340 109086 155010 163629 181810 186012 218172 232515 272715 310020 327258 363620 465030 545430 654516 676877 818145 930060 1090860 1353754 1636290 2030631 2381711 2707508 3272580 3384385 4061262 4763422 6091893 6768770 7145133 8122524 9526844 10153155 11908555 12183786 13537540 14290266 20306310 21435399 23817110 24367572 28580532 30459465 35725665 40612620 42870798 47634220 60918930 71451330 85741596 93941227 107176995 121837860 142902660 187882454 214353990 281823681 375764908 428707980 469706135 563647362 845471043 939412270 1127294724 1409118405 1690942086 1878824540 2818236810 3381884172 4227355215 5636473620 8454710430 12306300737 16909420860 24612601474 36918902211 49225202948 61531503685 73837804422 110756706633 123063007370 147675608844 184594511055 221513413266 246126014740 369189022110 443026826532 553783533165 738378044220 1107567066330 2215134132660