Search a number
-
+
22156728 = 23311234189
BaseRepresentation
bin101010010000…
…1010110111000
31112200200022120
41110201112320
521133003403
62110521240
7356220606
oct124412670
945620276
1022156728
1111563750
127506220
134789cb9
142d2a876
151e29e53
hex15215b8

22156728 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 6195200.

The previous prime is 22156727. The next prime is 22156759. The reversal of 22156728 is 82765122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22156727) 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 31 ways as a sum of consecutive naturals, for example, 248908 + ... + 248996.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 222156728 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 22156728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

22156728 is an abundant number, since it is smaller than the sum of its proper divisors (43161672).

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

22156728 is a wasteful number, since it uses less digits than its factorization.

22156728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 22156728 is about 4707.0933706482. The cubic root of 22156728 is about 280.8677501476.

The spelling of 22156728 in words is "twenty-two million, one hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 41 44 46 66 69 82 88 89 92 123 132 138 164 178 184 246 253 264 267 276 328 356 451 492 506 534 552 712 759 902 943 979 984 1012 1068 1353 1518 1804 1886 1958 2024 2047 2136 2706 2829 2937 3036 3608 3649 3772 3916 4094 5412 5658 5874 6072 6141 7298 7544 7832 8188 10373 10824 10947 11316 11748 12282 14596 16376 20746 21894 22517 22632 23496 24564 29192 31119 40139 41492 43788 45034 49128 62238 67551 80278 82984 83927 87576 90068 120417 124476 135102 160556 167854 180136 240834 248952 251781 270204 321112 335708 481668 503562 540408 671416 923197 963336 1007124 1846394 2014248 2769591 3692788 5539182 7385576 11078364 22156728