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22741420 = 22513471861
BaseRepresentation
bin101011011000…
…0000110101100
31120210101100211
41112300012230
521310211140
62131232204
7364204342
oct126600654
946711324
1022741420
1111922a69
127748664
134933180
14303d992
151ee32ea
hex15b01ac

22741420 has 48 divisors (see below), whose sum is σ = 52553088. Its totient is φ = 8213760.

The previous prime is 22741409. The next prime is 22741489. The reversal of 22741420 is 2414722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22741391 and 22741400.

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, 11290 + ... + 13150.

It is an arithmetic number, because the mean of its divisors is an integer number (1094856).

Almost surely, 222741420 is an apocalyptic number.

22741420 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 22741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276544).

22741420 is an abundant number, since it is smaller than the sum of its proper divisors (29811668).

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

22741420 is a wasteful number, since it uses less digits than its factorization.

22741420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 22741420 is about 4768.7964938756. The cubic root of 22741420 is about 283.3169294617.

The spelling of 22741420 in words is "twenty-two million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 1861 2444 3055 3722 6110 7444 9305 12220 18610 24193 37220 48386 87467 96772 120965 174934 241930 349868 437335 483860 874670 1137071 1749340 2274142 4548284 5685355 11370710 22741420