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2253144040 = 23578046943
BaseRepresentation
bin1000011001001100…
…0011111111101000
312211000200120120021
42012103003333220
514103301102130
61011324410224
7106556260030
oct20623037750
95730616507
102253144040
11a56928514
1252a6a6974
1329ba4ab34
141753528c0
15d2c1837a
hex864c3fe8

2253144040 has 32 divisors (see below), whose sum is σ = 5793799680. Its totient is φ = 772506432.

The previous prime is 2253144031. The next prime is 2253144041. The reversal of 2253144040 is 404413522.

It is a happy number.

2253144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2253143996 and 2253144014.

It is not an unprimeable number, because it can be changed into a prime (2253144041) 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, 4023192 + ... + 4023751.

It is an arithmetic number, because the mean of its divisors is an integer number (181056240).

Almost surely, 22253144040 is an apocalyptic number.

2253144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253144040 is an abundant number, since it is smaller than the sum of its proper divisors (3540655640).

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

2253144040 is a wasteful number, since it uses less digits than its factorization.

2253144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046961 (or 8046957 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2253144040 is about 47467.2944246878. The cubic root of 2253144040 is about 1310.9807623507.

Adding to 2253144040 its reverse (404413522), we get a palindrome (2657557562).

The spelling of 2253144040 in words is "two billion, two hundred fifty-three million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8046943 16093886 32187772 40234715 56328601 64375544 80469430 112657202 160938860 225314404 281643005 321877720 450628808 563286010 1126572020 2253144040