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22161024 = 273219237
BaseRepresentation
bin101010010001…
…0011010000000
31112200220012200
41110202122000
521133123044
62110553200
7356236254
oct124423200
945626180
1022161024
11115669a6
127508800
13478bc42
142d2c264
151e2b369
hex1522680

22161024 has 48 divisors (see below), whose sum is σ = 63773970. Its totient is φ = 7386624.

The previous prime is 22161023. The next prime is 22161031. The reversal of 22161024 is 42016122.

It can be written as a sum of positive squares in only one way, i.e., 21455424 + 705600 = 4632^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×221610242 = 982221969457152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22160988 and 22161006.

It is not an unprimeable number, because it can be changed into a prime (22161023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8467 + ... + 10770.

Almost surely, 222161024 is an apocalyptic number.

22161024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22161024 is an abundant number, since it is smaller than the sum of its proper divisors (41612946).

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

22161024 is a wasteful number, since it uses less digits than its factorization.

22161024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19257 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22161024 is about 4707.5496810974. The cubic root of 22161024 is about 280.8859015925.

Adding to 22161024 its reverse (42016122), we get a palindrome (64177146).

It can be divided in two parts, 2216 and 1024, that added together give a triangular number (3240 = T80).

The spelling of 22161024 in words is "twenty-two million, one hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19237 38474 57711 76948 115422 153896 173133 230844 307792 346266 461688 615584 692532 923376 1231168 1385064 1846752 2462336 2770128 3693504 5540256 7387008 11080512 22161024