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22234680 = 23325134751
BaseRepresentation
bin101010011010…
…0011000111000
31112211122020200
41110310120320
521143002210
62112322200
7356664066
oct124643070
945748220
1022234680
1111607276
127543360
1347b6620
142d4b036
151e430c0
hex1534638

22234680 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 5472000.

The previous prime is 22234679. The next prime is 22234699. The reversal of 22234680 is 8643222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 222234680 is an apocalyptic number.

22234680 is a gapful number since it is divisible by the number (20) 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 22234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

22234680 is an abundant number, since it is smaller than the sum of its proper divisors (55603080).

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

22234680 is a wasteful number, since it uses less digits than its factorization.

22234680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22234680 is about 4715.3663696472. The cubic root of 22234680 is about 281.1967484366.

It can be divided in two parts, 2223 and 4680, that added together give a triangular number (6903 = T117).

The spelling of 22234680 in words is "twenty-two million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4751 9502 14253 19004 23755 28506 38008 42759 47510 57012 61763 71265 85518 95020 114024 123526 142530 171036 185289 190040 213795 247052 285060 308815 342072 370578 427590 494104 555867 570120 617630 741156 855180 926445 1111734 1235260 1482312 1710360 1852890 2223468 2470520 2779335 3705780 4446936 5558670 7411560 11117340 22234680