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2334221020 = 2252941103953
BaseRepresentation
bin1000101100100001…
…0110001011011100
320000200020201021101
42023020112023130
514240030033040
61023342242444
7111562360045
oct21310261334
96020221241
102334221020
11a9867488a
12551886424
132b2797491
141820198cc
15d9dd109a
hex8b2162dc

2334221020 has 96 divisors (see below), whose sum is σ = 5250510720. Its totient is φ = 870051840.

The previous prime is 2334221017. The next prime is 2334221027. The reversal of 2334221020 is 201224332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334221027) 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, 2448864 + ... + 2449816.

It is an arithmetic number, because the mean of its divisors is an integer number (54692820).

Almost surely, 22334221020 is an apocalyptic number.

2334221020 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 2334221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625255360).

2334221020 is an abundant number, since it is smaller than the sum of its proper divisors (2916289700).

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

2334221020 is a wasteful number, since it uses less digits than its factorization.

2334221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2334221020 is about 48313.7767101683. The cubic root of 2334221020 is about 1326.5205792132.

Adding to 2334221020 its reverse (201224332), we get a palindrome (2535445352).

The spelling of 2334221020 in words is "two billion, three hundred thirty-four million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 103 116 145 164 205 206 290 410 412 515 580 820 953 1030 1189 1906 2060 2378 2987 3812 4223 4756 4765 5945 5974 8446 9530 11890 11948 14935 16892 19060 21115 23780 27637 29870 39073 42230 55274 59740 78146 84460 98159 110548 122467 138185 156292 195365 196318 244934 276370 390730 392636 489868 490795 552740 612335 781460 981590 1133117 1224670 1963180 2266234 2449340 2846611 4024519 4532468 5665585 5693222 8049038 11331170 11386444 14233055 16098076 20122595 22662340 28466110 40245190 56932220 80490380 116711051 233422102 466844204 583555255 1167110510 2334221020