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2224150040 = 235718734241
BaseRepresentation
bin1000010010010001…
…1101011000011000
312202000010112021102
42010210131120120
514023340300130
61004411130532
7106054651310
oct20444353030
95660115242
102224150040
11a41524932
12520a43a48
13295a38a18
14171566440
15d03dc645
hex8491d618

2224150040 has 64 divisors (see below), whose sum is σ = 5723645760. Its totient is φ = 761978880.

The previous prime is 2224150037. The next prime is 2224150063. The reversal of 2224150040 is 400514222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2224149994 and 2224150021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522320 + ... + 526560.

It is an arithmetic number, because the mean of its divisors is an integer number (89431965).

Almost surely, 22224150040 is an apocalyptic number.

2224150040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224150040 is an abundant number, since it is smaller than the sum of its proper divisors (3499495720).

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

2224150040 is a wasteful number, since it uses less digits than its factorization.

2224150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2224150040 is about 47160.8952417148. The cubic root of 2224150040 is about 1305.3331288925. Note that the first 3 decimals are identical.

Adding to 2224150040 its reverse (400514222), we get a palindrome (2624664262).

The spelling of 2224150040 in words is "two billion, two hundred twenty-four million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1873 3746 4241 7492 8482 9365 13111 14984 16964 18730 21205 26222 29687 33928 37460 42410 52444 59374 65555 74920 84820 104888 118748 131110 148435 169640 237496 262220 296870 524440 593740 1187480 7943393 15886786 31773572 39716965 55603751 63547144 79433930 111207502 158867860 222415004 278018755 317735720 444830008 556037510 1112075020 2224150040