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22101040 = 2451379269
BaseRepresentation
bin101010001001…
…1110000110000
31112120211221001
41110103300300
521124213130
62105411344
7355566343
oct124236060
945524831
1022101040
1111525925
127499b54
13476a850
142d1445a
151e186ca
hex1513c30

22101040 has 80 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 8027136.

The previous prime is 22101029. The next prime is 22101041. The reversal of 22101040 is 4010122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82026 + ... + 82294.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 222101040 is an apocalyptic number.

22101040 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 22101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

22101040 is an abundant number, since it is smaller than the sum of its proper divisors (34145360).

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

22101040 is a wasteful number, since it uses less digits than its factorization.

22101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22101040 is about 4701.1743213797. The cubic root of 22101040 is about 280.6322447754.

Adding to 22101040 its reverse (4010122), we get a palindrome (26111162).

The spelling of 22101040 in words is "twenty-two million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 269 316 395 520 538 632 790 1027 1040 1076 1264 1345 1580 2054 2152 2690 3160 3497 4108 4304 5135 5380 6320 6994 8216 10270 10760 13988 16432 17485 20540 21251 21520 27976 34970 41080 42502 55952 69940 82160 85004 106255 139880 170008 212510 276263 279760 340016 425020 552526 850040 1105052 1381315 1700080 2210104 2762630 4420208 5525260 11050520 22101040