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2169994880 = 27512372741
BaseRepresentation
bin1000000101010111…
…0111111010000000
312121020020011100202
42001111313322000
513421004314010
6555154304332
7104526436454
oct20125677200
95536204322
102169994880
11a139a62a9
125068880a8
13287757251
141682aa664
15ca7916a5
hex81577e80

2169994880 has 64 divisors (see below), whose sum is σ = 5193731880. Its totient is φ = 866979840.

The previous prime is 2169994873. The next prime is 2169994891. The reversal of 2169994880 is 884999612.

It can be written as a sum of positive squares in 4 ways, for example, as 1784893504 + 385101376 = 42248^2 + 19624^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790310 + ... + 793050.

Almost surely, 22169994880 is an apocalyptic number.

2169994880 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 2169994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596865940).

2169994880 is an abundant number, since it is smaller than the sum of its proper divisors (3023737000).

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

2169994880 is a wasteful number, since it uses less digits than its factorization.

2169994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 56.

The square root of 2169994880 is about 46583.2038400108. The cubic root of 2169994880 is about 1294.6515721582.

The spelling of 2169994880 in words is "two billion, one hundred sixty-nine million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1237 2474 2741 4948 5482 6185 9896 10964 12370 13705 19792 21928 24740 27410 39584 43856 49480 54820 79168 87712 98960 109640 158336 175424 197920 219280 350848 395840 438560 791680 877120 1754240 3390617 6781234 13562468 16953085 27124936 33906170 54249872 67812340 108499744 135624680 216999488 271249360 433998976 542498720 1084997440 2169994880