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2168033440 = 255149211431
BaseRepresentation
bin1000000100111001…
…1001000010100000
312121002112111202211
42001032121002200
513420004032230
6555044251504
7104503660126
oct20116310240
95532474684
102168033440
11a12886681
125060a0b94
1328721b531
14167d19916
15ca50542a
hex813990a0

2168033440 has 96 divisors (see below), whose sum is σ = 5192812800. Its totient is φ = 855321600.

The previous prime is 2168033401. The next prime is 2168033471. The reversal of 2168033440 is 443308612.

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, 5030025 + ... + 5030455.

It is an arithmetic number, because the mean of its divisors is an integer number (54091800).

Almost surely, 22168033440 is an apocalyptic number.

2168033440 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 2168033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596406400).

2168033440 is an abundant number, since it is smaller than the sum of its proper divisors (3024779360).

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

2168033440 is a wasteful number, since it uses less digits than its factorization.

2168033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2168033440 is about 46562.1459986543. The cubic root of 2168033440 is about 1294.2613797056.

The spelling of 2168033440 in words is "two billion, one hundred sixty-eight million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 211 298 422 431 596 745 844 862 1055 1192 1490 1688 1724 2110 2155 2384 2980 3376 3448 4220 4310 4768 5960 6752 6896 8440 8620 11920 13792 16880 17240 23840 31439 33760 34480 62878 64219 68960 90941 125756 128438 157195 181882 251512 256876 314390 321095 363764 454705 503024 513752 628780 642190 727528 909410 1006048 1027504 1257560 1284380 1455056 1818820 2055008 2515120 2568760 2910112 3637640 5030240 5137520 7275280 10275040 13550209 14550560 27100418 54200836 67751045 108401672 135502090 216803344 271004180 433606688 542008360 1084016720 2168033440