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1010240224 = 25723196087
BaseRepresentation
bin111100001101110…
…000101011100000
32121101221112001121
4330031300223200
54032110141344
6244124542024
734014620530
oct7415605340
92541845047
101010240224
11479288484
122423b1914
131313b41a6
14982554c0
155da55684
hex3c370ae0

1010240224 has 48 divisors (see below), whose sum is σ = 2371880448. Its totient is φ = 414133632.

The previous prime is 1010240221. The next prime is 1010240239. The reversal of 1010240224 is 4220420101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1010240198 and 1010240207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010240221) 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, 92892 + ... + 103195.

It is an arithmetic number, because the mean of its divisors is an integer number (49414176).

Almost surely, 21010240224 is an apocalyptic number.

1010240224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010240224 is an abundant number, since it is smaller than the sum of its proper divisors (1361640224).

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

1010240224 is a wasteful number, since it uses less digits than its factorization.

1010240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196127 (or 196119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1010240224 is about 31784.2763642654. The cubic root of 1010240224 is about 1003.4018224814.

Adding to 1010240224 its reverse (4220420101), we get a palindrome (5230660325).

The spelling of 1010240224 in words is "one billion, ten million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 196087 392174 784348 1372609 1568696 2745218 3137392 4510001 5490436 6274784 9020002 10980872 18040004 21961744 31570007 36080008 43923488 63140014 72160016 126280028 144320032 252560056 505120112 1010240224