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22143072 = 253783397
BaseRepresentation
bin101010001111…
…0000001100000
31112122222120210
41110132001200
521132034242
62110334120
7356133030
oct124360140
945588523
1022143072
1111554466
1274ba340
134783a13
142d258c0
151e25d9c
hex151e060

22143072 has 96 divisors (see below), whose sum is σ = 67398912. Its totient is φ = 6234624.

The previous prime is 22143071. The next prime is 22143073. The reversal of 22143072 is 27034122.

It is an interprime number because it is at equal distance from previous prime (22143071) and next prime (22143073).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143071) 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, 55578 + ... + 55974.

It is an arithmetic number, because the mean of its divisors is an integer number (702072).

Almost surely, 222143072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33699456).

22143072 is an abundant number, since it is smaller than the sum of its proper divisors (45255840).

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

22143072 is a wasteful number, since it uses less digits than its factorization.

22143072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22143072 is about 4705.6425703617. The cubic root of 22143072 is about 280.8100352742.

Adding to 22143072 its reverse (27034122), we get a palindrome (49177194).

The spelling of 22143072 in words is "twenty-two million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 397 498 581 664 672 794 996 1162 1191 1328 1588 1743 1992 2324 2382 2656 2779 3176 3486 3984 4648 4764 5558 6352 6972 7968 8337 9296 9528 11116 12704 13944 16674 18592 19056 22232 27888 32951 33348 38112 44464 55776 65902 66696 88928 98853 131804 133392 197706 230657 263608 266784 395412 461314 527216 691971 790824 922628 1054432 1383942 1581648 1845256 2767884 3163296 3690512 5535768 7381024 11071536 22143072