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22872072 = 2331761919
BaseRepresentation
bin101011101000…
…0000000001000
31121001000120210
41113100000020
521323401242
62134121120
7365260266
oct127200010
947030523
1022872072
1111a02143
1277b01a0
13497a792
143075436
15201bd9c
hex15d0008

22872072 has 64 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 7050240.

The previous prime is 22872053. The next prime is 22872103. The reversal of 22872072 is 27027822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24429 + ... + 25347.

It is an arithmetic number, because the mean of its divisors is an integer number (962550).

Almost surely, 222872072 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 22872072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).

22872072 is an abundant number, since it is smaller than the sum of its proper divisors (38731128).

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

22872072 is a wasteful number, since it uses less digits than its factorization.

22872072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 22872072 is about 4782.4755096080. The cubic root of 22872072 is about 283.8584562145.

Adding to 22872072 its reverse (27027822), we get a palindrome (49899894).

The spelling of 22872072 in words is "twenty-two million, eight hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 919 1037 1464 1838 2074 2757 3111 3676 4148 5514 6222 7352 8296 11028 12444 15623 22056 24888 31246 46869 56059 62492 93738 112118 124984 168177 187476 224236 336354 374952 448472 672708 953003 1345416 1906006 2859009 3812012 5718018 7624024 11436036 22872072