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2300220120 = 2335111742591
BaseRepresentation
bin1000100100011010…
…1001001011011000
312221022021021210210
42021012221023120
514202324020440
61020125411120
7111000356052
oct21106511330
95838237723
102300220120
11a80461470
12542409aa0
132a87213c3
1417b6c88d2
15d6e16a80
hex891a92d8

2300220120 has 64 divisors (see below), whose sum is σ = 7527997440. Its totient is φ = 557628800.

The previous prime is 2300220101. The next prime is 2300220121. The reversal of 2300220120 is 210220032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2300220096 and 2300220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300220121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 869976 + ... + 872615.

It is an arithmetic number, because the mean of its divisors is an integer number (117624960).

Almost surely, 22300220120 is an apocalyptic number.

2300220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300220120 is an abundant number, since it is smaller than the sum of its proper divisors (5227777320).

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

2300220120 is a wasteful number, since it uses less digits than its factorization.

2300220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742616 (or 1742612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2300220120 is about 47960.6100878627. The cubic root of 2300220120 is about 1320.0482305609.

Adding to 2300220120 its reverse (210220032), we get a palindrome (2510440152).

The spelling of 2300220120 in words is "two billion, three hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1742591 3485182 5227773 6970364 8712955 10455546 13940728 17425910 19168501 20911092 26138865 34851820 38337002 41822184 52277730 57505503 69703640 76674004 95842505 104555460 115011006 153348008 191685010 209110920 230022012 287527515 383370020 460044024 575055030 766740040 1150110060 2300220120