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22276940 = 2257413881
BaseRepresentation
bin101010011111…
…0101101001100
31112220210012212
41110332231030
521200330230
62113245552
7360231230
oct124765514
945823185
1022276940
1111635aa4
1275638b8
1347cc92a
142d5c5c0
151e50895
hex153eb4c

22276940 has 48 divisors (see below), whose sum is σ = 54782784. Its totient is φ = 7449600.

The previous prime is 22276939. The next prime is 22276963. The reversal of 22276940 is 4967222.

22276940 = 1232 + 1242 + ... + 4092.

It is a junction number, because it is equal to n+sod(n) for n = 22276897 and 22276906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3800 + ... + 7680.

It is an arithmetic number, because the mean of its divisors is an integer number (1141308).

Almost surely, 222276940 is an apocalyptic number.

22276940 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 22276940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391392).

22276940 is an abundant number, since it is smaller than the sum of its proper divisors (32505844).

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

22276940 is a wasteful number, since it uses less digits than its factorization.

22276940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 22276940 is about 4719.8453364491. The cubic root of 22276940 is about 281.3747864366.

The spelling of 22276940 in words is "twenty-two million, two hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 3881 5740 7762 15524 19405 27167 38810 54334 77620 108668 135835 159121 271670 318242 543340 636484 795605 1113847 1591210 2227694 3182420 4455388 5569235 11138470 22276940