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22133380 = 22529311231
BaseRepresentation
bin101010001101…
…1101010000100
31112122111021211
41110123222010
521131232010
62110221204
7356062543
oct124335204
945574254
1022133380
1111548155
1274b4804
13477c499
142d2215a
151e2308a
hex151ba84

22133380 has 48 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 8265600.

The previous prime is 22133359. The next prime is 22133401. The reversal of 22133380 is 8333122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22133359) and next prime (22133401).

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 15 ways as a sum of consecutive naturals, for example, 17365 + ... + 18595.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 222133380 is an apocalyptic number.

22133380 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 22133380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

22133380 is an abundant number, since it is smaller than the sum of its proper divisors (27540860).

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

22133380 is a wasteful number, since it uses less digits than its factorization.

22133380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22133380 is about 4704.6126301748. The cubic root of 22133380 is about 280.7690592067.

The spelling of 22133380 in words is "twenty-two million, one hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1231 1798 2462 3596 4495 4924 6155 8990 12310 17980 24620 35699 38161 71398 76322 142796 152644 178495 190805 356990 381610 713980 763220 1106669 2213338 4426676 5533345 11066690 22133380