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3212242000 = 245311146011
BaseRepresentation
bin1011111101110110…
…1110110001010000
322021212101210121221
42333131232301100
523034313221000
61250425254424
7142413415012
oct27735566120
98255353557
103212242000
1113a9254a60
12757934414
133c2666a16
142268941b2
1513c01a61a
hexbf76ec50

3212242000 has 80 divisors (see below), whose sum is σ = 8473368384. Its totient is φ = 1168080000.

The previous prime is 3212241937. The next prime is 3212242063. The reversal of 3212242000 is 2422123.

It is an interprime number because it is at equal distance from previous prime (3212241937) and next prime (3212242063).

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 (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51006 + ... + 95005.

Almost surely, 23212242000 is an apocalyptic number.

It is an amenable number.

3212242000 is an abundant number, since it is smaller than the sum of its proper divisors (5261126384).

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

3212242000 is a wasteful number, since it uses less digits than its factorization.

3212242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146045 (or 146029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3212242000 is about 56676.6442196431. The cubic root of 3212242000 is about 1475.4893712788.

Adding to 3212242000 its reverse (2422123), we get a palindrome (3214664123).

The spelling of 3212242000 in words is "three billion, two hundred twelve million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 146011 292022 584044 730055 1168088 1460110 1606121 2336176 2920220 3212242 3650275 5840440 6424484 7300550 8030605 11680880 12848968 14601100 16061210 18251375 25697936 29202200 32122420 36502750 40153025 58404400 64244840 73005500 80306050 128489680 146011000 160612100 200765125 292022000 321224200 401530250 642448400 803060500 1606121000 3212242000