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2112873156 = 22324721632
BaseRepresentation
bin111110111101111…
…1110001011000100
312110020202002002100
41331323332023010
513311343420111
6545354112100
7103234061022
oct17573761304
95406662070
102112873156
11994730969
124ab71b630
13278977404
1416087b712
15c575b756
hex7defe2c4

2112873156 has 81 divisors (see below), whose sum is σ = 5490610671. Its totient is φ = 685077264.

The previous prime is 2112873151. The next prime is 2112873181. The reversal of 2112873156 is 6513782112.

The square root of 2112873156 is 45966.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2112873156.

It is not an unprimeable number, because it can be changed into a prime (2112873151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12962331 + ... + 12962493.

Almost surely, 22112873156 is an apocalyptic number.

2112873156 is the 45966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112873156

2112873156 is an abundant number, since it is smaller than the sum of its proper divisors (3377737515).

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

2112873156 is a wasteful number, since it uses less digits than its factorization.

2112873156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 2112873156 is about 1283.1905181079.

Multiplying 2112873156 by its sum of digits (36), we get a square (76063433616 = 2757962).

2112873156 divided by its sum of digits (36) gives a square (58690921 = 76612).

The spelling of 2112873156 in words is "two billion, one hundred twelve million, eight hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 163 188 282 326 423 489 564 652 846 978 1467 1692 1956 2209 2934 4418 5868 6627 7661 8836 13254 15322 19881 22983 26508 26569 30644 39762 45966 53138 68949 79524 79707 91932 106276 137898 159414 239121 275796 318828 360067 478242 720134 956484 1080201 1248743 1440268 2160402 2497486 3240603 3746229 4320804 4994972 6481206 7492458 11238687 12962412 14984916 22477374 44954748 58690921 117381842 176072763 234763684 352145526 528218289 704291052 1056436578 2112873156