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2154455220 = 2235171925851
BaseRepresentation
bin1000000001101010…
…0110000010110100
312120010222122221210
42000122212002310
513403020031340
6553441241420
7104250365361
oct20032460264
95503878853
102154455220
11a06152105
12501633270
13284476098
141661c3468
15c9222180
hex806a60b4

2154455220 has 144 divisors (see below), whose sum is σ = 6742346688. Its totient is φ = 512179200.

The previous prime is 2154455209. The next prime is 2154455221. The reversal of 2154455220 is 225544512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154455221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365295 + ... + 371145.

It is an arithmetic number, because the mean of its divisors is an integer number (46821852).

Almost surely, 22154455220 is an apocalyptic number.

2154455220 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 2154455220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371173344).

2154455220 is an abundant number, since it is smaller than the sum of its proper divisors (4587891468).

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

2154455220 is a wasteful number, since it uses less digits than its factorization.

2154455220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2154455220 is about 46416.1094879784. The cubic root of 2154455220 is about 1291.5537674660.

Adding to 2154455220 its reverse (225544512), we get a palindrome (2379999732).

The spelling of 2154455220 in words is "two billion, one hundred fifty-four million, four hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 361 380 510 570 646 722 969 1020 1083 1140 1292 1444 1615 1805 1938 2166 3230 3610 3876 4332 4845 5415 5851 6137 6460 7220 9690 10830 11702 12274 17553 18411 19380 21660 23404 24548 29255 30685 35106 36822 58510 61370 70212 73644 87765 92055 99467 111169 117020 122740 175530 184110 198934 222338 298401 333507 351060 368220 397868 444676 497335 555845 596802 667014 994670 1111690 1193604 1334028 1492005 1667535 1889873 1989340 2112211 2223380 2984010 3335070 3779746 4224422 5669619 5968020 6336633 6670140 7559492 8448844 9449365 10561055 11339238 12673266 18898730 21122110 22678476 25346532 28348095 31683165 35907587 37797460 42244220 56696190 63366330 71815174 107722761 113392380 126732660 143630348 179537935 215445522 359075870 430891044 538613805 718151740 1077227610 2154455220