Search a number
-
+
9241222896 = 2432349918341
BaseRepresentation
bin10001001101101000…
…11101111011110000
3212212000222202121200
420212310131323300
5122411223113041
64124555251200
7445002045543
oct104664357360
925760882550
109241222896
113a1247a5a4
12195aa49b00
13b4373b939
1463948885a
1539147a1b6
hex226d1def0

9241222896 has 60 divisors (see below), whose sum is σ = 25871391000. Its totient is φ = 3079359360.

The previous prime is 9241222889. The next prime is 9241222909. The reversal of 9241222896 is 6982221429.

9241222896 is a `hidden beast` number, since 9 + 2 + 412 + 228 + 9 + 6 = 666.

It is a super-2 number, since 2×92412228962 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494686 + ... + 513026.

It is an arithmetic number, because the mean of its divisors is an integer number (431189850).

Almost surely, 29241222896 is an apocalyptic number.

It is an amenable number.

9241222896 is an abundant number, since it is smaller than the sum of its proper divisors (16630168104).

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

9241222896 is a wasteful number, since it uses less digits than its factorization.

9241222896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854 (or 21845 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9241222896 is about 96131.2794880002. The cubic root of 9241222896 is about 2098.5040665988.

The spelling of 9241222896 in words is "nine billion, two hundred forty-one million, two hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3499 6998 10497 13996 18341 20994 27992 31491 36682 41988 55023 55984 62982 73364 83976 110046 125964 146728 165069 167952 220092 251928 293456 330138 440184 503856 660276 880368 1320552 2641104 64175159 128350318 192525477 256700636 385050954 513401272 577576431 770101908 1026802544 1155152862 1540203816 2310305724 3080407632 4620611448 9241222896