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22971540 = 2235973947
BaseRepresentation
bin101011110100…
…0010010010100
31121020002000210
41113220102110
521340042130
62140205420
7366153264
oct127502224
947202023
1022971540
1111a6a949
127839870
1349b3b37
14309d7a4
15203b5b0
hex15e8494

22971540 has 48 divisors (see below), whose sum is σ = 64999872. Its totient is φ = 6061056.

The previous prime is 22971499. The next prime is 22971547. The reversal of 22971540 is 4517922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22971498 and 22971507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22971547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3847 + ... + 7793.

It is an arithmetic number, because the mean of its divisors is an integer number (1354164).

Almost surely, 222971540 is an apocalyptic number.

22971540 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 22971540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32499936).

22971540 is an abundant number, since it is smaller than the sum of its proper divisors (42028332).

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

22971540 is a wasteful number, since it uses less digits than its factorization.

22971540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 22971540 is about 4792.8634447478. The cubic root of 22971540 is about 284.2693503611.

The spelling of 22971540 in words is "twenty-two million, nine hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 3947 5820 7894 11841 15788 19735 23682 39470 47364 59205 78940 118410 236820 382859 765718 1148577 1531436 1914295 2297154 3828590 4594308 5742885 7657180 11485770 22971540