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22144104 = 23363797
BaseRepresentation
bin101010001111…
…0010001101000
31112200001000000
41110132101220
521132102404
62110343000
7356136033
oct124362150
945601000
1022144104
1111555214
1274baa60
134784328
142d2601a
151e26339
hex151e468

22144104 has 56 divisors (see below), whose sum is σ = 62268210. Its totient is φ = 7379424.

The previous prime is 22144091. The next prime is 22144117. The reversal of 22144104 is 40144122.

22144104 is a `hidden beast` number, since 221 + 441 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22144091) and next prime (22144117).

It can be written as a sum of positive squares in only one way, i.e., 22071204 + 72900 = 4698^2 + 270^2 .

It is a super-2 number, since 2×221441042 = 980722683925632, which contains 22 as substring.

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

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 13 ways as a sum of consecutive naturals, for example, 3934 + ... + 7730.

Almost surely, 222144104 is an apocalyptic number.

22144104 is a gapful number since it is divisible by the number (24) 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 22144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31134105).

22144104 is an abundant number, since it is smaller than the sum of its proper divisors (40124106).

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

22144104 is an equidigital number, since it uses as much as digits as its factorization.

22144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22144104 is about 4705.7522246714. The cubic root of 22144104 is about 280.8143976839.

Adding to 22144104 its sum of digits (18), we get a palindrome (22144122).

Adding to 22144104 its reverse (40144122), we get a palindrome (62288226).

The spelling of 22144104 in words is "twenty-two million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3797 5832 7594 11391 15188 22782 30376 34173 45564 68346 91128 102519 136692 205038 273384 307557 410076 615114 820152 922671 1230228 1845342 2460456 2768013 3690684 5536026 7381368 11072052 22144104