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2253531140 = 225731351427
BaseRepresentation
bin1000011001010010…
…0010100000000100
312211001102020120022
42012110202200010
514103400444030
61011340554312
7106562461430
oct20624424004
95731366508
102253531140
11a57072333
1252a852998
1329bb550a3
141754139c0
15d2c92de5
hex86522804

2253531140 has 48 divisors (see below), whose sum is σ = 5425859712. Its totient is φ = 770155776.

The previous prime is 2253531107. The next prime is 2253531149. The reversal of 2253531140 is 411353522.

It is a happy number.

It is a super-3 number, since 3×22535311403 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2253531149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18107 + ... + 69533.

It is an arithmetic number, because the mean of its divisors is an integer number (113038744).

Almost surely, 22253531140 is an apocalyptic number.

2253531140 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 2253531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712929856).

2253531140 is an abundant number, since it is smaller than the sum of its proper divisors (3172328572).

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

2253531140 is a wasteful number, since it uses less digits than its factorization.

2253531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51756 (or 51754 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2253531140 is about 47471.3717939560. The cubic root of 2253531140 is about 1311.0558354610.

Adding to 2253531140 its reverse (411353522), we get a palindrome (2664884662).

The spelling of 2253531140 in words is "two billion, two hundred fifty-three million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 626 1252 1565 2191 3130 4382 6260 8764 10955 21910 43820 51427 102854 205708 257135 359989 514270 719978 1028540 1439956 1799945 3599890 7199780 16096651 32193302 64386604 80483255 112676557 160966510 225353114 321933020 450706228 563382785 1126765570 2253531140