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296958220 = 2251319471279
BaseRepresentation
bin10001101100110…
…011100100001100
3202200210001002121
4101230303210030
51102010130340
645244502324
710234050256
oct2154634414
9680701077
10296958220
11142697119
128354a9a4
13496a4430
142b620cd6
151b10c94a
hex11b3390c

296958220 has 96 divisors (see below), whose sum is σ = 722534400. Its totient is φ = 101585664.

The previous prime is 296958209. The next prime is 296958223. The reversal of 296958220 is 22859692.

It is not an unprimeable number, because it can be changed into a prime (296958223) 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 31 ways as a sum of consecutive naturals, for example, 231541 + ... + 232819.

It is an arithmetic number, because the mean of its divisors is an integer number (7526400).

Almost surely, 2296958220 is an apocalyptic number.

296958220 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 296958220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361267200).

296958220 is an abundant number, since it is smaller than the sum of its proper divisors (425576180).

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

296958220 is a wasteful number, since it uses less digits than its factorization.

296958220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 296958220 is about 17232.4757362371. The cubic root of 296958220 is about 667.1627402194.

The spelling of 296958220 in words is "two hundred ninety-six million, nine hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 47 52 65 76 94 95 130 188 190 235 247 260 380 470 494 611 893 940 988 1222 1235 1279 1786 2444 2470 2558 3055 3572 4465 4940 5116 6110 6395 8930 11609 12220 12790 16627 17860 23218 24301 25580 33254 46436 48602 58045 60113 66508 83135 97204 116090 120226 121505 166270 232180 240452 243010 300565 315913 332540 486020 601130 631826 781469 1142147 1202260 1263652 1562938 1579565 2284294 3125876 3159130 3907345 4568588 5710735 6318260 7814690 11421470 14847911 15629380 22842940 29695822 59391644 74239555 148479110 296958220