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2297908480 = 2857318273
BaseRepresentation
bin1000100011110111…
…0100110100000000
312221010220211211111
42020331310310000
514201231032410
61020004053104
7110641620430
oct21075646400
95833824744
102297908480
11a7a12271a
12541694194
132a80c217a
1417b2862c0
15d6b0bb8a
hex88f74d00

2297908480 has 144 divisors (see below), whose sum is σ = 6494229504. Its totient is φ = 762347520.

The previous prime is 2297908453. The next prime is 2297908493. The reversal of 2297908480 is 848097922.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 273624 + ... + 281896.

It is an arithmetic number, because the mean of its divisors is an integer number (45098816).

Almost surely, 22297908480 is an apocalyptic number.

2297908480 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 2297908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247114752).

2297908480 is an abundant number, since it is smaller than the sum of its proper divisors (4196321024).

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

2297908480 is an equidigital number, since it uses as much as digits as its factorization.

2297908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 2297908480 is about 47936.5046702406. The cubic root of 2297908480 is about 1319.6058817259.

The spelling of 2297908480 in words is "two billion, two hundred ninety-seven million, nine hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 256 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1280 1736 1792 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 7936 8273 8680 8960 9920 13888 16546 17360 19840 27776 33092 34720 39680 41365 55552 57911 66184 69440 82730 115822 132368 138880 165460 231644 256463 264736 277760 289555 330920 463288 512926 529472 579110 661840 926576 1025852 1058944 1158220 1282315 1323680 1795241 1853152 2051704 2117888 2316440 2564630 2647360 3590482 3706304 4103408 4632880 5129260 5294720 7180964 7412608 8206816 8976205 9265760 10258520 10589440 14361928 14825216 16413632 17952410 18531520 20517040 28723856 32827264 35904820 37063040 41034080 57447712 65654528 71809640 74126080 82068160 114895424 143619280 164136320 229790848 287238560 328272640 459581696 574477120 1148954240 2297908480