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11229030468 = 22321723797743
BaseRepresentation
bin10100111010100110…
…10110100001000100
31001222120101211222100
422131103112201010
5140444112433333
65054125032100
7545160120105
oct123523264104
931876354870
1011229030468
114842549877
1222146b5630
13109c507536
1478748c3ac
1545ac30213
hex29d4d6844

11229030468 has 72 divisors (see below), whose sum is σ = 31360912128. Its totient is φ = 3369662208.

The previous prime is 11229030467. The next prime is 11229030469. The reversal of 11229030468 is 86403092211.

11229030468 is a `hidden beast` number, since 1 + 1 + 2 + 290 + 304 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (11229030467) and next prime (11229030469).

It is a super-2 number, since 2×112290304682 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11229030467) 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, 384796 + ... + 412947.

It is an arithmetic number, because the mean of its divisors is an integer number (435568224).

Almost surely, 211229030468 is an apocalyptic number.

11229030468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11229030468 is an abundant number, since it is smaller than the sum of its proper divisors (20131881660).

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

11229030468 is a wasteful number, since it uses less digits than its factorization.

11229030468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797793 (or 797788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11229030468 in words is "eleven billion, two hundred twenty-nine million, thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 797743 1595486 2393229 3190972 4786458 7179687 9572916 13561631 14359374 18348089 27123262 28718748 36696178 40684893 54246524 55044267 73392356 81369786 110088534 122054679 162739572 165132801 220177068 244109358 311917513 330265602 488218716 623835026 660531204 935752539 1247670052 1871505078 2807257617 3743010156 5614515234 11229030468