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2284732480 = 265531071259
BaseRepresentation
bin1000100000101110…
…0100000001000000
312220020010102202111
42020023210001000
514134342414410
61014413425104
7110421622432
oct21013440100
95806112674
102284732480
11a72743368
1253919b194
132a545ab14
14179616652
15d58a7b8a
hex882e4040

2284732480 has 112 divisors (see below), whose sum is σ = 5599419840. Its totient is φ = 887564288.

The previous prime is 2284732469. The next prime is 2284732517. The reversal of 2284732480 is 842374822.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814091 + ... + 1815349.

It is an arithmetic number, because the mean of its divisors is an integer number (49994820).

Almost surely, 22284732480 is an apocalyptic number.

2284732480 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 2284732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799709920).

2284732480 is an abundant number, since it is smaller than the sum of its proper divisors (3314687360).

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

2284732480 is a wasteful number, since it uses less digits than its factorization.

2284732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 2284732480 is about 47798.8753005758. The cubic root of 2284732480 is about 1317.0788786432.

The spelling of 2284732480 in words is "two billion, two hundred eighty-four million, seven hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 107 160 212 214 265 320 424 428 530 535 848 856 1060 1070 1259 1696 1712 2120 2140 2518 3392 3424 4240 4280 5036 5671 6295 6848 8480 8560 10072 11342 12590 16960 17120 20144 22684 25180 28355 34240 40288 45368 50360 56710 66727 80576 90736 100720 113420 133454 134713 181472 201440 226840 266908 269426 333635 362944 402880 453680 533816 538852 667270 673565 907360 1067632 1077704 1334540 1347130 1814720 2135264 2155408 2669080 2694260 4270528 4310816 5338160 5388520 7139789 8621632 10676320 10777040 14279578 21352640 21554080 28559156 35698945 43108160 57118312 71397890 114236624 142795780 228473248 285591560 456946496 571183120 1142366240 2284732480