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11230222332 = 2237604722109
BaseRepresentation
bin10100111010101111…
…11001011111111100
31001222122122101220110
422131113321133330
5140444414103312
65054210350020
7545203212660
oct123527713774
931878571813
1011230222332
11484319328a
122214b8b310
13109c833b94
147876bc8a0
1545adb843c
hex29d5f97fc

11230222332 has 48 divisors (see below), whose sum is σ = 29953566720. Its totient is φ = 3207959232.

The previous prime is 11230222331. The next prime is 11230222439. The reversal of 11230222332 is 23322203211.

It is a happy number.

It is a super-2 number, since 2×112302223322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11230222299 and 11230222308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496894 + ... + 519002.

It is an arithmetic number, because the mean of its divisors is an integer number (624032640).

Almost surely, 211230222332 is an apocalyptic number.

11230222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11230222332 is an abundant number, since it is smaller than the sum of its proper divisors (18723344388).

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

11230222332 is a wasteful number, since it uses less digits than its factorization.

11230222332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170 (or 28168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11230222332 its reverse (23322203211), we get a palindrome (34552425543).

The spelling of 11230222332 in words is "eleven billion, two hundred thirty million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 6047 12094 18141 22109 24188 36282 42329 44218 66327 72564 84658 88436 126987 132654 154763 169316 253974 265308 309526 464289 507948 619052 928578 1857156 133693123 267386246 401079369 534772492 802158738 935851861 1604317476 1871703722 2807555583 3743407444 5615111166 11230222332