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2145255424 = 217131259
BaseRepresentation
bin111111111011110…
…0000000000000000
312112111200021012121
41333313200000000
513343141133144
6552512134024
7104106240664
oct17767400000
95474607177
102145255424
11a00a39174
124ba537314
132825a4810
14164caa8a4
15c8506384
hex7fde0000

2145255424 has 72 divisors (see below), whose sum is σ = 4624202520. Its totient is φ = 989331456.

The previous prime is 2145255421. The next prime is 2145255443. The reversal of 2145255424 is 4245525412.

It is a self number, because there is not a number n which added to its sum of digits gives 2145255424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145255421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703307 + ... + 1704565.

It is an arithmetic number, because the mean of its divisors is an integer number (64225035).

Almost surely, 22145255424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312101260).

2145255424 is an abundant number, since it is smaller than the sum of its proper divisors (2478947096).

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

2145255424 is an frugal number, since it uses more digits than its factorization.

2145255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1274 counting only the distinct ones).

The product of its digits is 64000, while the sum is 34.

The square root of 2145255424 is about 46316.9021416588. The cubic root of 2145255424 is about 1289.7127786318.

The spelling of 2145255424 in words is "two billion, one hundred forty-five million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1259 1664 2048 2518 3328 4096 5036 6656 8192 10072 13312 16367 16384 20144 26624 32734 32768 40288 53248 65468 65536 80576 106496 130936 131072 161152 212992 261872 322304 425984 523744 644608 851968 1047488 1289216 1703936 2094976 2578432 4189952 5156864 8379904 10313728 16759808 20627456 33519616 41254912 67039232 82509824 134078464 165019648 268156928 536313856 1072627712 2145255424