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2450422000 = 245313791193
BaseRepresentation
bin1001001000001110…
…0111100011110000
320022202220100001101
42102003213203300
520004302001000
61043053014144
7114503146315
oct22203474360
96282810041
102450422000
111048221354
12584784354
13300891160
14193626d0c
15e51d5e6a
hex920e78f0

2450422000 has 160 divisors (see below), whose sum is σ = 6467086080. Its totient is φ = 892569600.

The previous prime is 2450421979. The next prime is 2450422027. The reversal of 2450422000 is 2240542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2053404 + ... + 2054596.

It is an arithmetic number, because the mean of its divisors is an integer number (40419288).

Almost surely, 22450422000 is an apocalyptic number.

2450422000 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 2450422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233543040).

2450422000 is an abundant number, since it is smaller than the sum of its proper divisors (4016664080).

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

2450422000 is a wasteful number, since it uses less digits than its factorization.

2450422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2450422000 is about 49501.7373432489. The cubic root of 2450422000 is about 1348.1771465457.

Adding to 2450422000 its reverse (2240542), we get a palindrome (2452662542).

The spelling of 2450422000 in words is "two billion, four hundred fifty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 125 130 158 200 208 250 260 316 325 395 400 500 520 632 650 790 1000 1027 1040 1193 1264 1300 1580 1625 1975 2000 2054 2386 2600 3160 3250 3950 4108 4772 5135 5200 5965 6320 6500 7900 8216 9544 9875 10270 11930 13000 15509 15800 16432 19088 19750 20540 23860 25675 26000 29825 31018 31600 39500 41080 47720 51350 59650 62036 77545 79000 82160 94247 95440 102700 119300 124072 128375 149125 155090 158000 188494 205400 238600 248144 256750 298250 310180 376988 387725 410800 471235 477200 513500 596500 620360 753976 775450 942470 1027000 1193000 1225211 1240720 1507952 1550900 1884940 1938625 2054000 2356175 2386000 2450422 3101800 3769880 3877250 4712350 4900844 6126055 6203600 7539760 7754500 9424700 9801688 11780875 12252110 15509000 18849400 19603376 23561750 24504220 30630275 31018000 37698800 47123500 49008440 61260550 94247000 98016880 122521100 153151375 188494000 245042200 306302750 490084400 612605500 1225211000 2450422000