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2224252142040 = 233524377605841
BaseRepresentation
bin100000010111011111110…
…000100100000111011000
321212122011221211000000110
4200113133300210013120
5242420232022021130
64421450214404320
7316461020155365
oct40273760440730
97778157730013
102224252142040
11788333391285
122bb0a96606a0
13131991192246
147992388346c
153ccd064bab0
hex205dfc241d8

2224252142040 has 64 divisors (see below), whose sum is σ = 6675495406560. Its totient is φ = 592890439680.

The previous prime is 2224252141999. The next prime is 2224252142053. The reversal of 2224252142040 is 402412524222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2224252141989 and 2224252142007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3510481 + ... + 4095360.

Almost surely, 22224252142040 is an apocalyptic number.

2224252142040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224252142040 is an abundant number, since it is smaller than the sum of its proper divisors (4451243264520).

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

2224252142040 is a wasteful number, since it uses less digits than its factorization.

2224252142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608292 (or 7608288 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2224252142040 its reverse (402412524222), we get a palindrome (2626664666262).

The spelling of 2224252142040 in words is "two trillion, two hundred twenty-four billion, two hundred fifty-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2437 4874 7311 9748 12185 14622 19496 24370 29244 36555 48740 58488 73110 97480 146220 292440 7605841 15211682 22817523 30423364 38029205 45635046 60846728 76058410 91270092 114087615 152116820 182540184 228175230 304233640 456350460 912700920 18535434517 37070869034 55606303551 74141738068 92677172585 111212607102 148283476136 185354345170 222425214204 278031517755 370708690340 444850428408 556063035510 741417380680 1112126071020 2224252142040