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22097772 = 2234241283
BaseRepresentation
bin101010001001…
…0111101101100
31112120200110000
41110102331230
521124112042
62105344300
7355553664
oct124227554
945520400
1022097772
1111523424
127498090
134769208
142d131a4
151e1774c
hex1512f6c

22097772 has 60 divisors (see below), whose sum is σ = 58212616. Its totient is φ = 7309440.

The previous prime is 22097771. The next prime is 22097783. The reversal of 22097772 is 27779022.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22097771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77943 + ... + 78225.

Almost surely, 222097772 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 22097772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29106308).

22097772 is an abundant number, since it is smaller than the sum of its proper divisors (36114844).

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

22097772 is a wasteful number, since it uses less digits than its factorization.

22097772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 22097772 is about 4700.8267357987. The cubic root of 22097772 is about 280.6184120721.

The spelling of 22097772 in words is "twenty-two million, ninety-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 283 324 482 566 723 849 964 1132 1446 1698 2169 2547 2892 3396 4338 5094 6507 7641 8676 10188 13014 15282 19521 22923 26028 30564 39042 45846 68203 78084 91692 136406 204609 272812 409218 613827 818436 1227654 1841481 2455308 3682962 5524443 7365924 11048886 22097772