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2214138976 = 25723716053
BaseRepresentation
bin1000001111111001…
…0001010001100000
312201022021220200021
42003332101101200
514013304421401
61003412403224
7105603604450
oct20376212140
95638256607
102214138976
11a36907425
12519616514
1329394210a
141700bbd60
15ce5b12a1
hex83f91460

2214138976 has 96 divisors (see below), whose sum is σ = 5272501248. Its totient is φ = 894727680.

The previous prime is 2214138967. The next prime is 2214138977. The reversal of 2214138976 is 6798314122.

It is a super-2 number, since 2×22141389762 = 9804822810084657152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214138977) by changing a digit.

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, 362766 + ... + 368818.

It is an arithmetic number, because the mean of its divisors is an integer number (54921888).

Almost surely, 22214138976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636250624).

2214138976 is an abundant number, since it is smaller than the sum of its proper divisors (3058362272).

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

2214138976 is a wasteful number, since it uses less digits than its factorization.

2214138976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6156 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2214138976 is about 47054.6381985878. The cubic root of 2214138976 is about 1303.3717161021.

The spelling of 2214138976 in words is "two billion, two hundred fourteen million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 71 92 112 142 161 184 224 284 322 368 497 568 644 736 994 1136 1288 1633 1988 2272 2576 3266 3976 5152 6053 6532 7952 11431 12106 13064 15904 22862 24212 26128 42371 45724 48424 52256 84742 91448 96848 139219 169484 182896 193696 278438 338968 365792 429763 556876 677936 859526 974533 1113752 1355872 1719052 1949066 2227504 3008341 3438104 3898132 4455008 6016682 6876208 7796264 9884549 12033364 13752416 15592528 19769098 24066728 31185056 39538196 48133456 69191843 79076392 96266912 138383686 158152784 276767372 316305568 553534744 1107069488 2214138976