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2020022100 = 2232527928411
BaseRepresentation
bin111100001100111…
…0001011101010100
312012210000202101100
41320121301131110
513114111201400
6532240030100
7101025622155
oct17031613524
95183022340
102020022100
11947282558
12484602330
13262667865
141523cb92c
15bc51a100
hex78671754

2020022100 has 108 divisors (see below), whose sum is σ = 6412020160. Its totient is φ = 531835200.

The previous prime is 2020022099. The next prime is 2020022101. The reversal of 2020022100 is 12200202.

It is an interprime number because it is at equal distance from previous prime (2020022099) and next prime (2020022101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020022101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56895 + ... + 85305.

Almost surely, 22020022100 is an apocalyptic number.

2020022100 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 2020022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206010080).

2020022100 is an abundant number, since it is smaller than the sum of its proper divisors (4391998060).

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

2020022100 is a wasteful number, since it uses less digits than its factorization.

2020022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28510 (or 28500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020022100 is about 44944.6559670891. The cubic root of 2020022100 is about 1264.1114748731. Note that the first 3 decimals are identical.

Adding to 2020022100 its reverse (12200202), we get a palindrome (2032222302).

The spelling of 2020022100 in words is "two billion, twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 28411 35550 56822 71100 85233 113644 142055 170466 255699 284110 340932 426165 511398 568220 710275 852330 1022796 1278495 1420550 1704660 2130825 2244469 2556990 2841100 4261650 4488938 5113980 6392475 6733407 8523300 8977876 11222345 12784950 13466814 20200221 22444690 25569900 26933628 33667035 40400442 44889380 56111725 67334070 80800884 101001105 112223450 134668140 168335175 202002210 224446900 336670350 404004420 505005525 673340700 1010011050 2020022100