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2234153440 = 25526353093
BaseRepresentation
bin1000010100101010…
…0111100111100000
312202200221202100201
42011022213213200
514033420402230
61005405354544
7106235663611
oct20512474740
95680852321
102234153440
11a47137602
12524268a54
13297b2bcac
14172a0bc08
15d12165ca
hex852a79e0

2234153440 has 48 divisors (see below), whose sum is σ = 5298356448. Its totient is φ = 890246656.

The previous prime is 2234153419. The next prime is 2234153443. The reversal of 2234153440 is 443514322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2234153399 and 2234153408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234153443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15534 + ... + 68626.

It is an arithmetic number, because the mean of its divisors is an integer number (110382426).

Almost surely, 22234153440 is an apocalyptic number.

2234153440 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 2234153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649178224).

2234153440 is an abundant number, since it is smaller than the sum of its proper divisors (3064203008).

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

2234153440 is a wasteful number, since it uses less digits than its factorization.

2234153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53371 (or 53363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2234153440 is about 47266.8323457369. The cubic root of 2234153440 is about 1307.2871700056.

Adding to 2234153440 its reverse (443514322), we get a palindrome (2677667762).

The spelling of 2234153440 in words is "two billion, two hundred thirty-four million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 1052 1315 2104 2630 4208 5260 8416 10520 21040 42080 53093 106186 212372 265465 424744 530930 849488 1061860 1698976 2123720 4247440 8494880 13963459 27926918 55853836 69817295 111707672 139634590 223415344 279269180 446830688 558538360 1117076720 2234153440