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2252181204 = 2232713252883
BaseRepresentation
bin1000011000111101…
…1000111011010100
312210221212122210200
42012033120323110
514103024244304
61011252020500
7106545136650
oct20617307324
95727778720
102252181204
11a56330089
1252a301730
1329b7a1800
14175181a60
15d2ac7e39
hex863d8ed4

2252181204 has 108 divisors (see below), whose sum is σ = 7045418016. Its totient is φ = 593970624.

The previous prime is 2252181187. The next prime is 2252181221. The reversal of 2252181204 is 4021812522.

2252181204 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 an interprime number because it is at equal distance from previous prime (2252181187) and next prime (2252181221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16147 + ... + 69029.

It is an arithmetic number, because the mean of its divisors is an integer number (65235352).

Almost surely, 22252181204 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 2252181204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522709008).

2252181204 is an abundant number, since it is smaller than the sum of its proper divisors (4793236812).

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

2252181204 is a wasteful number, since it uses less digits than its factorization.

2252181204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52926 (or 52908 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2252181204 is about 47457.1512419361. The cubic root of 2252181204 is about 1310.7939952830.

Adding to 2252181204 its reverse (4021812522), we get a palindrome (6273993726).

The spelling of 2252181204 in words is "two billion, two hundred fifty-two million, one hundred eighty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 10647 14196 21294 42588 52883 105766 158649 211532 317298 370181 475947 634596 687479 740362 951894 1110543 1374958 1480724 1903788 2062437 2221086 2749916 3331629 4124874 4442172 4812353 6187311 6663258 8249748 8937227 9624706 12374622 13326516 14437059 17874454 19249412 24749244 26811681 28874118 35748908 43311177 53623362 57748236 62560589 80435043 86622354 107246724 125121178 160870086 173244708 187681767 250242356 321740172 375363534 563045301 750727068 1126090602 2252181204