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2145532000 = 25532323321
BaseRepresentation
bin111111111100010…
…0011100001100000
312112112012022121011
41333320203201200
513343224011000
6552522110304
7104111502223
oct17770434140
95475168534
102145532000
11a01107a47
124ba64b394
13282670681
14164d3d5ba
15c855d2ba
hex7fe23860

2145532000 has 96 divisors (see below), whose sum is σ = 5501006784. Its totient is φ = 820864000.

The previous prime is 2145531959. The next prime is 2145532019. The reversal of 2145532000 is 2355412.

It is a congruent number.

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, 80340 + ... + 103660.

It is an arithmetic number, because the mean of its divisors is an integer number (57302154).

Almost surely, 22145532000 is an apocalyptic number.

2145532000 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 2145532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750503392).

2145532000 is an abundant number, since it is smaller than the sum of its proper divisors (3355474784).

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

2145532000 is a wasteful number, since it uses less digits than its factorization.

2145532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369 (or 23351 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2145532000 is about 46319.8877373424. The cubic root of 2145532000 is about 1289.7682014453.

Adding to 2145532000 its reverse (2355412), we get a palindrome (2147887412).

The spelling of 2145532000 in words is "two billion, one hundred forty-five million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 23321 46000 46642 92000 93284 116605 186568 233210 373136 466420 536383 583025 746272 932840 1072766 1166050 1865680 2145532 2332100 2681915 2915125 3731360 4291064 4664200 5363830 5830250 8582128 9328400 10727660 11660500 13409575 17164256 18656800 21455320 23321000 26819150 42910640 46642000 53638300 67047875 85821280 93284000 107276600 134095750 214553200 268191500 429106400 536383000 1072766000 2145532000