Search a number
-
+
2252148192 = 25337253197
BaseRepresentation
bin1000011000111101…
…0000110111100000
312210221210222112000
42012033100313200
514103022220232
61011251204000
7106544641500
oct20617206740
95727728460
102252148192
11a563082a8
1252a2a6600
1329b78c788
14175173a00
15d2abd27c
hex863d0de0

2252148192 has 144 divisors (see below), whose sum is σ = 7641360720. Its totient is φ = 643458816.

The previous prime is 2252148191. The next prime is 2252148193. The reversal of 2252148192 is 2918412522.

2252148192 is a `hidden beast` number, since 2 + 2 + 521 + 48 + 1 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (2252148191) and next prime (2252148193).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252148191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15738 + ... + 68934.

It is an arithmetic number, because the mean of its divisors is an integer number (53065005).

Almost surely, 22252148192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252148192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820680360).

2252148192 is an abundant number, since it is smaller than the sum of its proper divisors (5389212528).

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

2252148192 is a wasteful number, since it uses less digits than its factorization.

2252148192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53230 (or 53209 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2252148192 is about 47456.8034321740. The cubic root of 2252148192 is about 1310.7875908038.

The spelling of 2252148192 in words is "two billion, two hundred fifty-two million, one hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 53197 106394 159591 212788 319182 372379 425576 478773 638364 744758 851152 957546 1117137 1276728 1436319 1489516 1702304 1915092 2234274 2553456 2606653 2872638 2979032 3351411 3830184 4468548 5106912 5213306 5745276 5958064 6702822 7660368 7819959 8937096 10054233 10426612 11490552 11916128 13405644 15320736 15639918 17874192 20108466 20853224 22981104 23459877 26811288 31279836 35748384 40216932 41706448 45962208 46919754 53622576 62559672 70379631 80433864 83412896 93839508 107245152 125119344 140759262 160867728 187679016 250238688 281518524 321735456 375358032 563037048 750716064 1126074096 2252148192