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2206686976 = 281323127227
BaseRepresentation
bin1000001110000111…
…0101111100000000
312200210021022110021
42003201311330000
514004402440401
61002544543224
7105453346504
oct20341657400
95623238407
102206686976
11a3268764a
12517021b14
13292233250
1416d0dc304
15cdadd2a1
hex83875f00

2206686976 has 144 divisors (see below), whose sum is σ = 5010776064. Its totient is φ = 962260992.

The previous prime is 2206686941. The next prime is 2206687003. The reversal of 2206686976 is 6796866022.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9720975 + ... + 9721201.

It is an arithmetic number, because the mean of its divisors is an integer number (34797056).

Almost surely, 22206686976 is an apocalyptic number.

2206686976 is a gapful number since it is divisible by the number (26) 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 2206686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505388032).

2206686976 is an abundant number, since it is smaller than the sum of its proper divisors (2804089088).

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

2206686976 is a wasteful number, since it uses less digits than its factorization.

2206686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 2206686976 is about 46975.3869169803. The cubic root of 2206686976 is about 1301.9078448825.

The spelling of 2206686976 in words is "two billion, two hundred six million, six hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 127 128 184 208 227 254 256 299 368 416 454 508 598 736 832 908 1016 1196 1472 1651 1664 1816 2032 2392 2921 2944 2951 3302 3328 3632 4064 4784 5221 5842 5888 5902 6604 7264 8128 9568 10442 11684 11804 13208 14528 16256 19136 20884 23368 23608 26416 28829 29056 32512 37973 38272 41768 46736 47216 52832 57658 58112 67873 75946 76544 83536 93472 94432 105664 115316 135746 151892 167072 186944 188864 211328 230632 271492 303784 334144 373888 374777 377728 422656 461264 542984 607568 663067 668288 747776 749554 755456 922528 1085968 1215136 1326134 1336576 1499108 1845056 2171936 2430272 2652268 2998216 3690112 4343872 4860544 5304536 5996432 7380224 8619871 8687744 9721088 10609072 11992864 17239742 17375488 21218144 23985728 34479484 42436288 47971456 68958968 84872576 95942912 137917936 169745152 275835872 551671744 1103343488 2206686976