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2234064460 = 2251922925673
BaseRepresentation
bin1000010100101001…
…0001111001001100
312202200210020022011
42011022101321030
514033410030320
61005403431004
7106235143315
oct20512217114
95680706264
102234064460
11a47086771
12524225464
13297aca644
141729c760c
15d11ea05a
hex85291e4c

2234064460 has 48 divisors (see below), whose sum is σ = 4960216800. Its totient is φ = 842863104.

The previous prime is 2234064439. The next prime is 2234064461. The reversal of 2234064460 is 644604322.

It is a super-2 number, since 2×22340644602 = 9982088022870183200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2234064461) 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, 74184 + ... + 99856.

It is an arithmetic number, because the mean of its divisors is an integer number (103337850).

Almost surely, 22234064460 is an apocalyptic number.

2234064460 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 2234064460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480108400).

2234064460 is an abundant number, since it is smaller than the sum of its proper divisors (2726152340).

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

2234064460 is a wasteful number, since it uses less digits than its factorization.

2234064460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25930 (or 25928 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 2234064460 is about 47265.8910843750. The cubic root of 2234064460 is about 1307.2698145941.

Adding to 2234064460 its reverse (644604322), we get a palindrome (2878668782).

The spelling of 2234064460 in words is "two billion, two hundred thirty-four million, sixty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 380 458 916 1145 2290 4351 4580 8702 17404 21755 25673 43510 51346 87020 102692 128365 256730 487787 513460 975574 1951148 2438935 4877870 5879117 9755740 11758234 23516468 29395585 58791170 111703223 117582340 223406446 446812892 558516115 1117032230 2234064460