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2353413220 = 2252943197479
BaseRepresentation
bin1000110001000110…
…0011110001100100
320002000100210000121
42030101203301210
514304433210340
61025305451324
7112214453014
oct21421436144
96060323017
102353413220
11aa8493204
125581a0b44
132b6757002
141847b3c44
15db92294a
hex8c463c64

2353413220 has 96 divisors (see below), whose sum is σ = 5269017600. Its totient is φ = 881416704.

The previous prime is 2353413217. The next prime is 2353413253. The reversal of 2353413220 is 223143532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4912941 + ... + 4913419.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 22353413220 is an apocalyptic number.

2353413220 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 2353413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634508800).

2353413220 is an abundant number, since it is smaller than the sum of its proper divisors (2915604380).

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

2353413220 is a wasteful number, since it uses less digits than its factorization.

2353413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2353413220 is about 48511.9904765822. The cubic root of 2353413220 is about 1330.1462556104.

Adding to 2353413220 its reverse (223143532), we get a palindrome (2576556752).

The spelling of 2353413220 in words is "two billion, three hundred fifty-three million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 197 215 290 394 430 479 580 788 860 958 985 1247 1916 1970 2395 2494 3940 4790 4988 5713 6235 8471 9580 11426 12470 13891 16942 20597 22852 24940 27782 28565 33884 41194 42355 55564 57130 69455 82388 84710 94363 102985 114260 138910 169420 188726 205970 245659 277820 377452 411940 471815 491318 597313 943630 982636 1194626 1228295 1887260 2389252 2456590 2736527 2986565 4057609 4913180 5473054 5973130 8115218 10946108 11946260 13682635 16230436 20288045 27365270 40576090 54730540 81152180 117670661 235341322 470682644 588353305 1176706610 2353413220