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22022234414640 = 24325375315597367
BaseRepresentation
bin1010000000111011100110…
…11101011001111000110000
32212222022020101021122112100
411000131303131121320300
510341303014002232030
6114500512543500400
74432024332646155
oct500356335317060
985868211248470
1022022234414640
117020639232709
1225780818b7700
13c398c3113875
14561c4ba6c22c
15282caed48360
hex140773759e30

22022234414640 has 240 divisors, whose sum is σ = 77390022310848. Its totient is φ = 5606067677184.

The previous prime is 22022234414633. The next prime is 22022234414681. The reversal of 22022234414640 is 4641443222022.

It is a happy number.

22022234414640 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 2 + 3 + 4 + 4 + 1 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×220222344146403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22022234414595 and 22022234414604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6386764 + ... + 9210603.

Almost surely, 222022234414640 is an apocalyptic number.

22022234414640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022234414640 is an abundant number, since it is smaller than the sum of its proper divisors (55367787896208).

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

22022234414640 is a wasteful number, since it uses less digits than its factorization.

22022234414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15597476 (or 15597467 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22022234414640 its reverse (4641443222022), we get a palindrome (26663677636662).

The spelling of 22022234414640 in words is "twenty-two trillion, twenty-two billion, two hundred thirty-four million, four hundred fourteen thousand, six hundred forty".