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2045217500 = 22542335569
BaseRepresentation
bin111100111100111…
…1000101011011100
312021112102210222022
41321321320223130
513142033430000
6534540035312
7101453030144
oct17171705334
95245383868
102045217500
1195a5211a7
12490b32b38
13267949991
141558a9924
15be845585
hex79e78adc

2045217500 has 60 divisors (see below), whose sum is σ = 4667068560. Its totient is φ = 782496000.

The previous prime is 2045217479. The next prime is 2045217509. The reversal of 2045217500 is 57125402.

It is a self number, because there is not a number n which added to its sum of digits gives 2045217500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045217509) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 39716 + ... + 75284.

It is an arithmetic number, because the mean of its divisors is an integer number (77784476).

Almost surely, 22045217500 is an apocalyptic number.

2045217500 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 2045217500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333534280).

2045217500 is an abundant number, since it is smaller than the sum of its proper divisors (2621851060).

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

2045217500 is a wasteful number, since it uses less digits than its factorization.

2045217500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35616 (or 35599 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 2045217500 is about 45224.0809746312. The cubic root of 2045217500 is about 1269.3454580736.

The spelling of 2045217500 in words is "two billion, forty-five million, two hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 625 1150 1250 2300 2500 2875 5750 11500 14375 28750 35569 57500 71138 142276 177845 355690 711380 818087 889225 1636174 1778450 3272348 3556900 4090435 4446125 8180870 8892250 16361740 17784500 20452175 22230625 40904350 44461250 81808700 88922500 102260875 204521750 409043500 511304375 1022608750 2045217500