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22161120 = 2535137337
BaseRepresentation
bin101010010001…
…0011011100000
31112200220100020
41110202123200
521133123440
62110553440
7356236452
oct124423340
945626306
1022161120
1111566a83
127508880
13478bcb7
142d2c2d2
151e2b3d0
hex15226e0

22161120 has 96 divisors (see below), whose sum is σ = 70525728. Its totient is φ = 5849088.

The previous prime is 22161109. The next prime is 22161131. The reversal of 22161120 is 2116122.

22161120 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (22161109) and next prime (22161131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×221611202 = 982230479308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22161120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65592 + ... + 65928.

It is an arithmetic number, because the mean of its divisors is an integer number (734643).

Almost surely, 222161120 is an apocalyptic number.

22161120 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 22161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35262864).

22161120 is an abundant number, since it is smaller than the sum of its proper divisors (48364608).

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

22161120 is a wasteful number, since it uses less digits than its factorization.

22161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 22161120 is about 4707.5598774737. The cubic root of 22161120 is about 280.8863071846.

Adding to 22161120 its reverse (2116122), we get a palindrome (24277242).

The spelling of 22161120 in words is "twenty-two million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 160 240 274 337 411 480 548 674 685 822 1011 1096 1348 1370 1644 1685 2022 2055 2192 2696 2740 3288 3370 4044 4110 4384 5055 5392 5480 6576 6740 8088 8220 10110 10784 10960 13152 13480 16176 16440 20220 21920 26960 32352 32880 40440 46169 53920 65760 80880 92338 138507 161760 184676 230845 277014 369352 461690 554028 692535 738704 923380 1108056 1385070 1477408 1846760 2216112 2770140 3693520 4432224 5540280 7387040 11080560 22161120