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2250150144 = 28311266353
BaseRepresentation
bin1000011000011110…
…1001000100000000
312210211001110201020
42012013221010000
514102014301034
61011140305440
7106521650334
oct20607510400
95724043636
102250150144
11a55173120
125296a2280
1329b2401b8
14174bb37c4
15d2826249
hex861e9100

2250150144 has 72 divisors (see below), whose sum is σ = 6533130912. Its totient is φ = 681861120.

The previous prime is 2250150143. The next prime is 2250150163. The reversal of 2250150144 is 4410510522.

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

It is not an unprimeable number, because it can be changed into a prime (2250150143) 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, 124729 + ... + 141624.

Almost surely, 22250150144 is an apocalyptic number.

2250150144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2250150144 is an abundant number, since it is smaller than the sum of its proper divisors (4282980768).

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

2250150144 is a wasteful number, since it uses less digits than its factorization.

2250150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266383 (or 266369 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2250150144 is about 47435.7475328470. The cubic root of 2250150144 is about 1310.3998437595.

Adding to 2250150144 its reverse (4410510522), we get a palindrome (6660660666).

The spelling of 2250150144 in words is "two billion, two hundred fifty million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 266353 532706 799059 1065412 1598118 2130824 2929883 3196236 4261648 5859766 6392472 8523296 8789649 11719532 12784944 17046592 17579298 23439064 25569888 34093184 35158596 46878128 51139776 68186368 70317192 93756256 102279552 140634384 187512512 204559104 281268768 375025024 562537536 750050048 1125075072 2250150144