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2302100420 = 2251947157821
BaseRepresentation
bin1000100100110111…
…0100001111000100
312221102210211002112
42021031310033010
514203314203140
61020234000152
7111022350014
oct21115641704
95842724075
102302100420
11a81526134
12542b76058
132a8c2c1c9
1417ba57c44
15d7188c65
hex893743c4

2302100420 has 96 divisors (see below), whose sum is σ = 5236600320. Its totient is φ = 847342080.

The previous prime is 2302100419. The next prime is 2302100473. The reversal of 2302100420 is 240012032.

It is a junction number, because it is equal to n+sod(n) for n = 2302100395 and 2302100404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2803610 + ... + 2804430.

It is an arithmetic number, because the mean of its divisors is an integer number (54547920).

Almost surely, 22302100420 is an apocalyptic number.

2302100420 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 2302100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618300160).

2302100420 is an abundant number, since it is smaller than the sum of its proper divisors (2934499900).

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

2302100420 is a wasteful number, since it uses less digits than its factorization.

2302100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1051 counting only the distinct ones).

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

The square root of 2302100420 is about 47980.2086281417. The cubic root of 2302100420 is about 1320.4078208818.

Adding to 2302100420 its reverse (240012032), we get a palindrome (2542112452).

The spelling of 2302100420 in words is "two billion, three hundred two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 157 188 190 235 314 380 470 628 785 821 893 940 1570 1642 1786 2983 3140 3284 3572 4105 4465 5966 7379 8210 8930 11932 14758 14915 15599 16420 17860 29516 29830 31198 36895 38587 59660 62396 73790 77174 77995 128897 140201 147580 154348 155990 192935 257794 280402 311980 385870 515588 560804 644485 701005 733153 771740 1288970 1402010 1466306 2449043 2577940 2804020 2932612 3665765 4898086 6058159 7331530 9796172 12116318 12245215 14663060 24232636 24490430 30290795 48980860 60581590 115105021 121163180 230210042 460420084 575525105 1151050210 2302100420