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2107177216 = 281921512
BaseRepresentation
bin111110110011000…
…1111100100000000
312102212000200201121
41331212033210000
513303414132331
6545032042024
7103134465544
oct17546174400
95385020647
102107177216
119914a0481
124a9833314
13277731931
1415dbd7a24
15c4ed3c11
hex7d98f900

2107177216 has 81 divisors (see below), whose sum is σ = 4468742523. Its totient is φ = 991526400.

The previous prime is 2107177211. The next prime is 2107177249. The reversal of 2107177216 is 6127717012.

The square root of 2107177216 is 45904.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2107177211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13954741 + ... + 13954891.

Almost surely, 22107177216 is an apocalyptic number.

2107177216 is the 45904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107177216

2107177216 is an abundant number, since it is smaller than the sum of its proper divisors (2361565307).

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

2107177216 is an frugal number, since it uses more digits than its factorization.

2107177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The cubic root of 2107177216 is about 1282.0363939328.

The spelling of 2107177216 in words is "two billion, one hundred seven million, one hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 151 152 256 302 304 361 604 608 722 1208 1216 1444 2416 2432 2869 2888 4832 4864 5738 5776 9664 11476 11552 19328 22801 22952 23104 38656 45602 45904 46208 54511 91204 91808 92416 109022 182408 183616 218044 364816 367232 433219 436088 729632 734464 866438 872176 1459264 1732876 1744352 2918528 3465752 3488704 5837056 6931504 6977408 8231161 13863008 13954816 16462322 27726016 32924644 55452032 65849288 110904064 131698576 263397152 526794304 1053588608 2107177216