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2208342048 = 253118923497
BaseRepresentation
bin1000001110100000…
…1010000000100000
312200220101101210020
42003220022000200
514010313421143
61003044233440
7105503412003
oct20350120040
95626341706
102208342048
11a33608080
1251769b880
13292692693
1416d40d53a
15cdd18883
hex83a0a020

2208342048 has 96 divisors (see below), whose sum is σ = 6395215680. Its totient is φ = 661647360.

The previous prime is 2208342029. The next prime is 2208342113. The reversal of 2208342048 is 8402438022.

It is a Cunningham number, because it is equal to 469932-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 82236 + ... + 105732.

It is an arithmetic number, because the mean of its divisors is an integer number (66616830).

Almost surely, 22208342048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197607840).

2208342048 is an abundant number, since it is smaller than the sum of its proper divisors (4186873632).

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

2208342048 is a wasteful number, since it uses less digits than its factorization.

2208342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23610 (or 23602 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2208342048 is about 46992.9999893601. Note that the first 4 decimals coincide. The cubic root of 2208342048 is about 1302.2332516669.

The spelling of 2208342048 in words is "two billion, two hundred eight million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 89 96 132 176 178 264 267 352 356 528 534 712 979 1056 1068 1424 1958 2136 2848 2937 3916 4272 5874 7832 8544 11748 15664 23496 23497 31328 46992 46994 70491 93984 93988 140982 187976 258467 281964 375952 516934 563928 751904 775401 1033868 1127856 1550802 2067736 2091233 2255712 3101604 4135472 4182466 6203208 6273699 8270944 8364932 12406416 12547398 16729864 23003563 24812832 25094796 33459728 46007126 50189592 66919456 69010689 92014252 100379184 138021378 184028504 200758368 276042756 368057008 552085512 736114016 1104171024 2208342048