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22224354053440 = 26571117101525313
BaseRepresentation
bin1010000110110100000101…
…01110101000110101000000
32220200121221110001010211111
411003122002232220311000
510403110434114202230
6115133421033053104
74452441132353140
oct503320256506500
986617843033744
1022224354053440
117099328525910
1225ab28b257194
13c52994608786
1456b94346c920
1528818e41392a
hex143682ba8d40

22224354053440 has 448 divisors, whose sum is σ = 70553385220608. Its totient is φ = 6455033856000.

The previous prime is 22224354053371. The next prime is 22224354053509. The reversal of 22224354053440 is 4435045342222.

It is an interprime number because it is at equal distance from previous prime (22224354053371) and next prime (22224354053509).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22224354053393 and 22224354053402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42044224 + ... + 42569536.

Almost surely, 222224354053440 is an apocalyptic number.

22224354053440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224354053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35276692610304).

22224354053440 is an abundant number, since it is smaller than the sum of its proper divisors (48329031167168).

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

22224354053440 is a wasteful number, since it uses less digits than its factorization.

22224354053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525466 (or 525456 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 22224354053440 its reverse (4435045342222), we get a palindrome (26659399395662).

The spelling of 22224354053440 in words is "twenty-two trillion, two hundred twenty-four billion, three hundred fifty-four million, fifty-three thousand, four hundred forty".