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29226680 = 2357104381
BaseRepresentation
bin110111101111…
…1011010111000
32000222212110122
41233133122320
524440223210
62522232412
7503264660
oct157373270
960885418
1029226680
111555248a
129955708
136093cc2
143c4b1a0
152874b55
hex1bdf6b8

29226680 has 32 divisors (see below), whose sum is σ = 75155040. Its totient is φ = 10020480.

The previous prime is 29226677. The next prime is 29226683. The reversal of 29226680 is 8662292.

It is an interprime number because it is at equal distance from previous prime (29226677) and next prime (29226683).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 29226680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29226683) 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 7 ways as a sum of consecutive naturals, for example, 51911 + ... + 52470.

It is an arithmetic number, because the mean of its divisors is an integer number (2348595).

Almost surely, 229226680 is an apocalyptic number.

29226680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29226680 is an abundant number, since it is smaller than the sum of its proper divisors (45928360).

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

29226680 is a wasteful number, since it uses less digits than its factorization.

29226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104399 (or 104395 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 29226680 is about 5406.1705485491. The cubic root of 29226680 is about 308.0301033150.

The spelling of 29226680 in words is "twenty-nine million, two hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 104381 208762 417524 521905 730667 835048 1043810 1461334 2087620 2922668 3653335 4175240 5845336 7306670 14613340 29226680