Search a number
-
+
2247492096 = 293454193
BaseRepresentation
bin1000010111110110…
…0000001000000000
312210122001102120000
42011331200020000
514100324221341
61011003320000
7106460240043
oct20575401000
95718042500
102247492096
11a53718093
12528820000
1329a81c3a5
141746c0c5a
15d249d8b6
hex85f60200

2247492096 has 100 divisors (see below), whose sum is σ = 6708295902. Its totient is φ = 749150208.

The previous prime is 2247491963. The next prime is 2247492109. The reversal of 2247492096 is 6902947422.

It is a happy number.

2247492096 is a `hidden beast` number, since 2 + 2 + 474 + 92 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1568160000 + 679332096 = 39600^2 + 26064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14376 + ... + 68568.

Almost surely, 22247492096 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 2247492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354147951).

2247492096 is an abundant number, since it is smaller than the sum of its proper divisors (4460803806).

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

2247492096 is an frugal number, since it uses more digits than its factorization.

2247492096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54223 (or 54198 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2247492096 is about 47407.7219026605. The cubic root of 2247492096 is about 1309.8836592289.

The spelling of 2247492096 in words is "two billion, two hundred forty-seven million, four hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 54193 108386 162579 216772 325158 433544 487737 650316 867088 975474 1300632 1463211 1734176 1950948 2601264 2926422 3468352 3901896 4389633 5202528 5852844 6936704 7803792 8779266 10405056 11705688 13873408 15607584 17558532 20810112 23411376 27746816 31215168 35117064 41620224 46822752 62430336 70234128 83240448 93645504 124860672 140468256 187291008 249721344 280936512 374582016 561873024 749164032 1123746048 2247492096