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2214665520 = 243535326141
BaseRepresentation
bin1000010000000001…
…0001110100110000
312201100021122221220
42010000101310300
514013423244040
61003431545040
7105611226534
oct20400216460
95640248856
102214665520
11a37136a91
1251982b180
13293a97992
141701b7bc4
15ce6672d0
hex84011d30

2214665520 has 80 divisors (see below), whose sum is σ = 6885175392. Its totient is φ = 588881920.

The previous prime is 2214665419. The next prime is 2214665527. The reversal of 2214665520 is 255664122.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2214665527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71650 + ... + 97790.

Almost surely, 22214665520 is an apocalyptic number.

2214665520 is a gapful number since it is divisible by the number (20) 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 2214665520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442587696).

2214665520 is an abundant number, since it is smaller than the sum of its proper divisors (4670509872).

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

2214665520 is a wasteful number, since it uses less digits than its factorization.

2214665520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26510 (or 26504 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2214665520 is about 47060.2328936014. The cubic root of 2214665520 is about 1303.4750261126.

The spelling of 2214665520 in words is "two billion, two hundred fourteen million, six hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 21180 26141 28240 42360 52282 78423 84720 104564 130705 156846 209128 261410 313692 392115 418256 522820 627384 784230 1045640 1254768 1568460 2091280 3136920 6273840 9227773 18455546 27683319 36911092 46138865 55366638 73822184 92277730 110733276 138416595 147644368 184555460 221466552 276833190 369110920 442933104 553666380 738221840 1107332760 2214665520