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2232201020 = 2257101915647
BaseRepresentation
bin1000010100001100…
…1010111100111100
312202120021120010212
42011003022330330
514032420413040
61005255451552
7106213252460
oct20503127474
95676246125
102232201020
11a46023735
12523686bb8
132975c740a
141726604a0
15d0e7cd65
hex850caf3c

2232201020 has 48 divisors (see below), whose sum is σ = 5362882560. Its totient is φ = 764526144.

The previous prime is 2232201019. The next prime is 2232201029. The reversal of 2232201020 is 201022322.

It is a super-3 number, since 3×22322010203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2232200986 and 2232201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232201029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134837 + ... + 150483.

It is an arithmetic number, because the mean of its divisors is an integer number (111726720).

Almost surely, 22232201020 is an apocalyptic number.

2232201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232201020 is an abundant number, since it is smaller than the sum of its proper divisors (3130681540).

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

2232201020 is a wasteful number, since it uses less digits than its factorization.

2232201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2232201020 is about 47246.1746599659. The cubic root of 2232201020 is about 1306.9062475742.

Adding to 2232201020 its reverse (201022322), we get a palindrome (2433223342).

The spelling of 2232201020 in words is "two billion, two hundred thirty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1019 2038 4076 5095 7133 10190 14266 15647 20380 28532 31294 35665 62588 71330 78235 109529 142660 156470 219058 312940 438116 547645 1095290 2190580 15944293 31888586 63777172 79721465 111610051 159442930 223220102 318885860 446440204 558050255 1116100510 2232201020