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20229825 = 35271131113
BaseRepresentation
bin100110100101…
…0111011000001
31102001210002210
41031022323001
520134323300
62001332333
7333644040
oct115127301
942053083
1020229825
1110467a70
1269370a9
134263c15
142988557
151b99050
hex134aec1

20229825 has 96 divisors (see below), whose sum is σ = 43425792. Its totient is φ = 8064000.

The previous prime is 20229821. The next prime is 20229829. The reversal of 20229825 is 52892202.

It is an interprime number because it is at equal distance from previous prime (20229821) and next prime (20229829).

It is not a de Polignac number, because 20229825 - 22 = 20229821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20229792 and 20229801.

It is not an unprimeable number, because it can be changed into a prime (20229821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178969 + ... + 179081.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 220229825 is an apocalyptic number.

20229825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20229825 is an abundant number, since it is smaller than the sum of its proper divisors (23195967).

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

20229825 is a wasteful number, since it uses less digits than its factorization.

20229825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20229825 is about 4497.7577747140. The cubic root of 20229825 is about 272.4775393209.

The spelling of 20229825 in words is "twenty million, two hundred twenty-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 31 33 35 55 75 77 93 105 113 155 165 175 217 231 275 339 341 385 465 525 565 651 775 791 825 1023 1085 1155 1243 1695 1705 1925 2325 2373 2387 2825 3255 3503 3729 3955 5115 5425 5775 6215 7161 8475 8525 8701 10509 11865 11935 16275 17515 18645 19775 24521 25575 26103 31075 35805 38533 43505 52545 59325 59675 73563 87575 93225 115599 122605 130515 179025 192665 217525 262725 269731 367815 577995 613025 652575 809193 963325 1348655 1839075 2889975 4045965 6743275 20229825