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29200122 = 233777249
BaseRepresentation
bin110111101100…
…0111011111010
32000221112001000
41233120323322
524433400442
62521505430
7503124360
oct157307372
960845030
1029200122
1115534536
129942276
136084ba3
143c41630
15286bd4c
hex1bd8efa

29200122 has 32 divisors (see below), whose sum is σ = 74160000. Its totient is φ = 8342784.

The previous prime is 29200121. The next prime is 29200123. The reversal of 29200122 is 22100292.

It is an interprime number because it is at equal distance from previous prime (29200121) and next prime (29200123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 29200095 and 29200104.

It is not an unprimeable number, because it can be changed into a prime (29200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38247 + ... + 39002.

It is an arithmetic number, because the mean of its divisors is an integer number (2317500).

Almost surely, 229200122 is an apocalyptic number.

29200122 is an abundant number, since it is smaller than the sum of its proper divisors (44959878).

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

29200122 is a wasteful number, since it uses less digits than its factorization.

29200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77267 (or 77261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 29200122 is about 5403.7137229872. The cubic root of 29200122 is about 307.9367737199.

The spelling of 29200122 in words is "twenty-nine million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 77249 154498 231747 463494 540743 695241 1081486 1390482 1622229 2085723 3244458 4171446 4866687 9733374 14600061 29200122