Search a number
-
+
2969224128 = 26341344059
BaseRepresentation
bin1011000011111010…
…1100001111000000
321122221010012210000
42300332230033000
522040110133003
61210344440000
7133402663053
oct26076541700
97587105700
102969224128
111294060042
126aa479000
133841ca370
142024b4a9a
15125a151a3
hexb0fac3c0

2969224128 has 140 divisors (see below), whose sum is σ = 9478980280. Its totient is φ = 913586688.

The previous prime is 2969224109. The next prime is 2969224129. The reversal of 2969224128 is 8214229692.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2969224129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45363 + ... + 89421.

It is an arithmetic number, because the mean of its divisors is an integer number (67707002).

Almost surely, 22969224128 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 2969224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739490140).

2969224128 is an abundant number, since it is smaller than the sum of its proper divisors (6509756152).

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

2969224128 is a wasteful number, since it uses less digits than its factorization.

2969224128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44096 (or 44077 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2969224128 is about 54490.5875174786. The cubic root of 2969224128 is about 1437.3007769076.

The spelling of 2969224128 in words is "two billion, nine hundred sixty-nine million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 44059 67392 88118 132177 176236 264354 352472 396531 528708 572767 704944 793062 1057416 1145534 1189593 1409888 1586124 1718301 2114832 2291068 2379186 2819776 3172248 3436602 3568779 4229664 4582136 4758372 5154903 6344496 6873204 7137558 8459328 9164272 9516744 10309806 12688992 13746408 14275116 15464709 18328544 19033488 20619612 25377984 27492816 28550232 30929418 36657088 38066976 41239224 46394127 54985632 57100464 61858836 76133952 82478448 92788254 109971264 114200928 123717672 164956896 185576508 228401856 247435344 329913792 371153016 494870688 742306032 989741376 1484612064 2969224128