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2072031168 = 26319567991
BaseRepresentation
bin111101110000000…
…1010111111000000
312100101220002102010
41323200022333000
513220414444133
6541334452520
7102226655124
oct17340127700
95311802363
102072031168
11973675759
12499b04140
1327037755c
14159289584
15c1d90263
hex7b80afc0

2072031168 has 56 divisors (see below), whose sum is σ = 5770798720. Its totient is φ = 654324480.

The previous prime is 2072031163. The next prime is 2072031193. The reversal of 2072031168 is 8611302702.

It is a super-2 number, since 2×20720311682 = 8586626322326888448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072031163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280348 + ... + 287643.

Almost surely, 22072031168 is an apocalyptic number.

It is an amenable number.

2072031168 is an abundant number, since it is smaller than the sum of its proper divisors (3698767552).

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

2072031168 is a wasteful number, since it uses less digits than its factorization.

2072031168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568025 (or 568015 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2072031168 is about 45519.5690665015. The cubic root of 2072031168 is about 1274.8686099131.

The spelling of 2072031168 in words is "two billion, seventy-two million, thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 567991 1135982 1703973 2271964 3407946 4543928 6815892 9087856 10791829 13631784 18175712 21583658 27263568 32375487 36351424 43167316 54527136 64750974 86334632 109054272 129501948 172669264 259003896 345338528 518007792 690677056 1036015584 2072031168