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2195176140 = 223451355047
BaseRepresentation
bin1000001011010111…
…1011101011001100
312122222121111120000
42002311323223030
513443431114030
61001454124300
7105253455303
oct20265735314
95588544500
102195176140
11a27135363
125131b0690
1328ca32ac1
1416b78343a
15ccab7860
hex82d7bacc

2195176140 has 60 divisors (see below), whose sum is σ = 6886353936. Its totient is φ = 585379872.

The previous prime is 2195176127. The next prime is 2195176157. The reversal of 2195176140 is 416715912.

2195176140 is a `hidden beast` number, since 21 + 9 + 5 + 17 + 614 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×21951761403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2195176095 and 2195176104.

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 19 ways as a sum of consecutive naturals, for example, 675904 + ... + 679143.

Almost surely, 22195176140 is an apocalyptic number.

2195176140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2195176140 is an abundant number, since it is smaller than the sum of its proper divisors (4691177796).

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

2195176140 is a wasteful number, since it uses less digits than its factorization.

2195176140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355068 (or 1355057 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 2195176140 is about 46852.7068588358. The cubic root of 2195176140 is about 1299.6401647079.

The spelling of 2195176140 in words is "two billion, one hundred ninety-five million, one hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1355047 2710094 4065141 5420188 6775235 8130282 12195423 13550470 16260564 20325705 24390846 27100940 36586269 40651410 48781692 60977115 73172538 81302820 109758807 121954230 146345076 182931345 219517614 243908460 365862690 439035228 548794035 731725380 1097588070 2195176140