Search a number
-
+
622774128 = 24323312587
BaseRepresentation
bin100101000111101…
…100011101110000
31121101212012111110
4211013230131300
52233412233003
6141444113320
721301331004
oct4507543560
91541765443
10622774128
1129a5a3469
12154695840
139c040902
145c9d4704
1539a1aa03
hex251ec770

622774128 has 120 divisors (see below), whose sum is σ = 1737638784. Its totient is φ = 191832960.

The previous prime is 622774127. The next prime is 622774129. The reversal of 622774128 is 821477226.

622774128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (622774127) and next prime (622774129).

It is a super-2 number, since 2×6227741282 = 775695229012320768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (622774123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060651 + ... + 1061237.

Almost surely, 2622774128 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 622774128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868819392).

622774128 is an abundant number, since it is smaller than the sum of its proper divisors (1114864656).

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

622774128 is a wasteful number, since it uses less digits than its factorization.

622774128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 646 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 622774128 is about 24955.4428532134. The cubic root of 622774128 is about 853.9717826750.

It can be divided in two parts, 62 and 2774128, that added together give a triangular number (2774190 = T2355).

The spelling of 622774128 in words is "six hundred twenty-two million, seven hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 587 713 744 961 1104 1174 1426 1488 1761 1922 2139 2348 2852 2883 3522 3844 4278 4696 5704 5766 7044 7688 8556 9392 11408 11532 13501 14088 15376 17112 18197 22103 23064 27002 28176 34224 36394 40503 44206 46128 54004 54591 66309 72788 81006 88412 108008 109182 132618 145576 162012 176824 216016 218364 265236 291152 324024 353648 418531 436728 530472 564107 648048 837062 873456 1060944 1128214 1255593 1674124 1692321 2256428 2511186 3348248 3384642 4512856 5022372 6696496 6769284 9025712 10044744 12974461 13538568 20089488 25948922 27077136 38923383 51897844 77846766 103795688 155693532 207591376 311387064 622774128