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2148202560 = 26357319673
BaseRepresentation
bin1000000000001010…
…1111100001000000
312112201012222220210
42000002233201000
513344414440220
6553055234120
7104143264140
oct20002574100
95481188823
102148202560
11a02671419
124bb518940
1328309709a
14165436920
15c88d96e0
hex800af840

2148202560 has 112 divisors (see below), whose sum is σ = 7794930816. Its totient is φ = 491016192.

The previous prime is 2148202549. The next prime is 2148202577. The reversal of 2148202560 is 652028412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×21482025602 = 9229548477581107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153117 + ... + 166556.

Almost surely, 22148202560 is an apocalyptic number.

2148202560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148202560 is an abundant number, since it is smaller than the sum of its proper divisors (5646728256).

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

2148202560 is a wasteful number, since it uses less digits than its factorization.

2148202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319700 (or 319690 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2148202560 is about 46348.7061308080. The cubic root of 2148202560 is about 1290.3031076696.

The spelling of 2148202560 in words is "two billion, one hundred forty-eight million, two hundred two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 319673 639346 959019 1278692 1598365 1918038 2237711 2557384 3196730 3836076 4475422 4795095 5114768 6393460 6713133 7672152 8950844 9590190 10229536 11188555 12786920 13426266 15344304 17901688 19180380 20459072 22377110 25573840 26852532 30688608 33565665 35803376 38360760 44754220 51147680 53705064 61377216 67131330 71606752 76721520 89508440 102295360 107410128 134262660 143213504 153443040 179016880 214820256 268525320 306886080 358033760 429640512 537050640 716067520 1074101280 2148202560