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2300220240 = 243591910429
BaseRepresentation
bin1000100100011010…
…1001001101010000
312221022021021222020
42021012221031100
514202324021430
61020125411440
7111000356313
oct21106511520
95838237866
102300220240
11a8046156a
12542409b80
132a8721486
1417b6c897a
15d6e16b10
hex891a9350

2300220240 has 80 divisors (see below), whose sum is σ = 7139126400. Its totient is φ = 612665856.

The previous prime is 2300220229. The next prime is 2300220257. The reversal of 2300220240 is 420220032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215346 + ... + 225774.

It is an arithmetic number, because the mean of its divisors is an integer number (89239080).

Almost surely, 22300220240 is an apocalyptic number.

2300220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300220240 is an abundant number, since it is smaller than the sum of its proper divisors (4838906160).

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

2300220240 is a wasteful number, since it uses less digits than its factorization.

2300220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2300220240 is about 47960.6113388893. The cubic root of 2300220240 is about 1320.0482535161.

Adding to 2300220240 its reverse (420220032), we get a palindrome (2720440272).

The spelling of 2300220240 in words is "two billion, three hundred million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 919 1838 2757 3676 4595 5514 7352 9190 10429 11028 13785 14704 18380 20858 22056 27570 31287 36760 41716 44112 52145 55140 62574 73520 83432 104290 110280 125148 156435 166864 208580 220560 250296 312870 417160 500592 625740 834320 1251480 2502960 9584251 19168502 28752753 38337004 47921255 57505506 76674008 95842510 115011012 143763765 153348016 191685020 230022024 287527530 383370040 460044048 575055060 766740080 1150110120 2300220240