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2214062640 = 243351025029
BaseRepresentation
bin1000001111110111…
…1110101000110000
312201022011000222000
42003331332220300
514013300001030
61003411014000
7105603136056
oct20375765060
95638130860
102214062640
11a36865039
1251959a300
1329391644a
1417009c1d6
15ce598860
hex83f7ea30

2214062640 has 80 divisors (see below), whose sum is σ = 7626223200. Its totient is φ = 590416128.

The previous prime is 2214062633. The next prime is 2214062663. The reversal of 2214062640 is 462604122.

2214062640 is a `hidden beast` number, since 2 + 2 + 14 + 0 + 6 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510355 + ... + 514674.

It is an arithmetic number, because the mean of its divisors is an integer number (95327790).

Almost surely, 22214062640 is an apocalyptic number.

2214062640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214062640 is an abundant number, since it is smaller than the sum of its proper divisors (5412160560).

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

2214062640 is a wasteful number, since it uses less digits than its factorization.

2214062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025051 (or 1025039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2214062640 is about 47053.8270494548. The cubic root of 2214062640 is about 1303.3567373184.

Adding to 2214062640 its reverse (462604122), we get a palindrome (2676666762).

The spelling of 2214062640 in words is "two billion, two hundred fourteen million, sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1025029 2050058 3075087 4100116 5125145 6150174 8200232 9225261 10250290 12300348 15375435 16400464 18450522 20500580 24600696 27675783 30750870 36901044 41001160 46126305 49201392 55351566 61501740 73802088 82002320 92252610 110703132 123003480 138378915 147604176 184505220 221406264 246006960 276757830 369010440 442812528 553515660 738020880 1107031320 2214062640