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2196904512 = 263112935869
BaseRepresentation
bin1000001011110010…
…0001101001000000
312200002212022102210
42002330201221000
513444401421022
61001555142120
7105304244265
oct20274415100
95602768383
102196904512
11a28105970
125138a4940
132901b96ca
1416bab326c
15ccd09a0c
hex82f21a40

2196904512 has 112 divisors (see below), whose sum is σ = 6559905600. Its totient is φ = 642754560.

The previous prime is 2196904499. The next prime is 2196904513. The reversal of 2196904512 is 2154096912.

It is not an unprimeable number, because it can be changed into a prime (2196904513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43314 + ... + 79182.

Almost surely, 22196904512 is an apocalyptic number.

2196904512 is a gapful number since it is divisible by the number (22) 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 2196904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279952800).

2196904512 is an abundant number, since it is smaller than the sum of its proper divisors (4363001088).

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

2196904512 is a wasteful number, since it uses less digits than its factorization.

2196904512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35924 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2196904512 is about 46871.1479697265. The cubic root of 2196904512 is about 1299.9811658021.

The spelling of 2196904512 in words is "two billion, one hundred ninety-six million, nine hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 5104 5568 7656 10208 15312 20416 30624 35869 61248 71738 107607 143476 215214 286952 394559 430428 573904 789118 860856 1040201 1147808 1183677 1578236 1721712 2080402 2295616 2367354 3120603 3156472 3443424 4160804 4734708 6241206 6312944 6886848 8321608 9469416 11442211 12482412 12625888 16643216 18938832 22884422 24964824 25251776 33286432 34326633 37877664 45768844 49929648 66572864 68653266 75755328 91537688 99859296 137306532 183075376 199718592 274613064 366150752 549226128 732301504 1098452256 2196904512