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23102772 = 22371122273
BaseRepresentation
bin101100000100…
…0010100110100
31121110202001020
41120020110310
521403242042
62143101140
7400241010
oct130102464
947422036
1023102772
111204a500
1278a17b0
134a2b7a4
1430d5540
1520653ec
hex1608534

23102772 has 72 divisors (see below), whose sum is σ = 67747008. Its totient is φ = 5998080.

The previous prime is 23102771. The next prime is 23102789. The reversal of 23102772 is 27720132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23102771) 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, 9028 + ... + 11300.

Almost surely, 223102772 is an apocalyptic number.

23102772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23102772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33873504).

23102772 is an abundant number, since it is smaller than the sum of its proper divisors (44644236).

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

23102772 is a wasteful number, since it uses less digits than its factorization.

23102772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 23102772 is about 4806.5343023846. The cubic root of 23102772 is about 284.8096482076.

The spelling of 23102772 in words is "twenty-three million, one hundred two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2273 2541 3388 4546 5082 6819 9092 10164 13638 15911 25003 27276 31822 47733 50006 63644 75009 95466 100012 150018 175021 190932 275033 300036 350042 525063 550066 700084 825099 1050126 1100132 1650198 1925231 2100252 3300396 3850462 5775693 7700924 11551386 23102772