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2145254220 = 223458914879
BaseRepresentation
bin111111111011101…
…1111101101001100
312112111200012120000
41333313133231030
513343141113340
6552512124300
7104106234324
oct17767375514
95474605500
102145254220
11a00a3827a
124ba536690
132825a40c5
14164caa284
15c8505d30
hex7fddfb4c

2145254220 has 120 divisors (see below), whose sum is σ = 6805814400. Its totient is φ = 565602048.

The previous prime is 2145254213. The next prime is 2145254249. The reversal of 2145254220 is 224525412.

2145254220 is a `hidden beast` number, since 214 + 5 + 25 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136741 + ... + 151619.

It is an arithmetic number, because the mean of its divisors is an integer number (56715120).

Almost surely, 22145254220 is an apocalyptic number.

2145254220 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 2145254220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402907200).

2145254220 is an abundant number, since it is smaller than the sum of its proper divisors (4660560180).

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

2145254220 is a wasteful number, since it uses less digits than its factorization.

2145254220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14989 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2145254220 is about 46316.8891442420. The cubic root of 2145254220 is about 1289.7125373530.

Adding to 2145254220 its reverse (224525412), we get a palindrome (2369779632).

The spelling of 2145254220 in words is "two billion, one hundred forty-five million, two hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 267 270 324 356 405 445 534 540 801 810 890 1068 1335 1602 1620 1780 2403 2670 3204 4005 4806 5340 7209 8010 9612 12015 14418 14879 16020 24030 28836 29758 36045 44637 48060 59516 72090 74395 89274 133911 144180 148790 178548 223185 267822 297580 401733 446370 535644 669555 803466 892740 1205199 1324231 1339110 1606932 2008665 2410398 2648462 2678220 3972693 4017330 4820796 5296924 6025995 6621155 7945386 8034660 11918079 12051990 13242310 15890772 19863465 23836158 24103980 26484620 35754237 39726930 47672316 59590395 71508474 79453860 107262711 119180790 143016948 178771185 214525422 238361580 357542370 429050844 536313555 715084740 1072627110 2145254220