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2302110020 = 2257235231367
BaseRepresentation
bin1000100100110111…
…0110100101000100
312221102211022021002
42021031312211010
514203320010040
61020234112432
7111022420010
oct21115664504
95842738232
102302110020
11a81532371
12542b7b718
132a8c336a2
1417ba5b540
15d718ba15
hex89376944

2302110020 has 96 divisors (see below), whose sum is σ = 5780533248. Its totient is φ = 752982912.

The previous prime is 2302110001. The next prime is 2302110023. The reversal of 2302110020 is 200112032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2302109983 and 2302110010.

It is not an unprimeable number, because it can be changed into a prime (2302110023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683377 + ... + 1684743.

It is an arithmetic number, because the mean of its divisors is an integer number (60213888).

Almost surely, 22302110020 is an apocalyptic number.

2302110020 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 2302110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890266624).

2302110020 is an abundant number, since it is smaller than the sum of its proper divisors (3478423228).

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

2302110020 is a wasteful number, since it uses less digits than its factorization.

2302110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2302110020 is about 47980.3086692864. The cubic root of 2302110020 is about 1320.4096562923.

Adding to 2302110020 its reverse (200112032), we get a palindrome (2502222052).

The spelling of 2302110020 in words is "two billion, three hundred two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 523 644 805 1046 1367 1610 2092 2615 2734 3220 3661 5230 5468 6835 7322 9569 10460 12029 13670 14644 18305 19138 24058 27340 31441 36610 38276 47845 48116 60145 62882 73220 84203 95690 120290 125764 157205 168406 191380 220087 240580 314410 336812 421015 440174 628820 714941 842030 880348 1100435 1429882 1684060 2200870 2859764 3574705 4401740 5004587 7149410 10009174 14298820 16443643 20018348 25022935 32887286 50045870 65774572 82218215 100091740 115105501 164436430 230211002 328872860 460422004 575527505 1151055010 2302110020