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2245387080 = 233567317881
BaseRepresentation
bin1000010111010101…
…1110001101001000
312210111002111000110
42011311132031020
514044304341310
61010450234320
7106433322006
oct20565361510
95714074013
102245387080
11a5250a602
12527b859a0
1329a263211
141742d3a76
15d21d4d20
hex85d5e348

2245387080 has 128 divisors (see below), whose sum is σ = 6866052480. Its totient is φ = 587304960.

The previous prime is 2245387033. The next prime is 2245387091. The reversal of 2245387080 is 807835422.

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, 2548240 + ... + 2549120.

It is an arithmetic number, because the mean of its divisors is an integer number (53641035).

Almost surely, 22245387080 is an apocalyptic number.

2245387080 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 2245387080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433026240).

2245387080 is an abundant number, since it is smaller than the sum of its proper divisors (4620665400).

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

2245387080 is a wasteful number, since it uses less digits than its factorization.

2245387080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2245387080 is about 47385.5155084336. The cubic root of 2245387080 is about 1309.4745829142.

The spelling of 2245387080 in words is "two billion, two hundred forty-five million, three hundred eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 317 335 402 536 634 670 804 881 951 1005 1268 1340 1585 1608 1762 1902 2010 2536 2643 2680 3170 3524 3804 4020 4405 4755 5286 6340 7048 7608 8040 8810 9510 10572 12680 13215 17620 19020 21144 21239 26430 35240 38040 42478 52860 59027 63717 84956 105720 106195 118054 127434 169912 177081 212390 236108 254868 279277 295135 318585 354162 424780 472216 509736 558554 590270 637170 708324 837831 849560 885405 1117108 1180540 1274340 1396385 1416648 1675662 1770810 2234216 2361080 2548680 2792770 3351324 3541620 4189155 5585540 6702648 7083240 8378310 11171080 16756620 18711559 33513240 37423118 56134677 74846236 93557795 112269354 149692472 187115590 224538708 280673385 374231180 449077416 561346770 748462360 1122693540 2245387080