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2340222144 = 26313937589
BaseRepresentation
bin1000101101111100…
…1111010011000000
320001002112121021020
42023133033103000
514243044102034
61024115025440
7111664363041
oct21337172300
96032477236
102340222144
11aa0aa3597
1255389b280
132b3ab8b40
14182b3c8c8
15da6b9249
hex8b7cf4c0

2340222144 has 56 divisors (see below), whose sum is σ = 6668140080. Its totient is φ = 720067584.

The previous prime is 2340222107. The next prime is 2340222173. The reversal of 2340222144 is 4412220432.

2340222144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466299 + ... + 471290.

It is an arithmetic number, because the mean of its divisors is an integer number (119073930).

Almost surely, 22340222144 is an apocalyptic number.

2340222144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2340222144 is an abundant number, since it is smaller than the sum of its proper divisors (4327917936).

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

2340222144 is a wasteful number, since it uses less digits than its factorization.

2340222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937617 (or 937607 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2340222144 is about 48375.8425663058. The cubic root of 2340222144 is about 1327.6564045524.

Adding to 2340222144 its reverse (4412220432), we get a palindrome (6752442576).

It can be divided in two parts, 2340222 and 144, that added together give a triangular number (2340366 = T2163).

The spelling of 2340222144 in words is "two billion, three hundred forty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 937589 1875178 2812767 3750356 5625534 7500712 11251068 12188657 15001424 22502136 24377314 30002848 36565971 45004272 48754628 60005696 73131942 90008544 97509256 146263884 180017088 195018512 292527768 390037024 585055536 780074048 1170111072 2340222144