Search a number
-
+
22643116555400 = 235211192934753831
BaseRepresentation
bin1010010011000000000101…
…11010110011110010001000
32222011122211201120100220022
411021200002322303302020
510431441100314233100
6120054034254520012
74524624352035065
oct511400272636210
988148751510808
1022643116555400
11723a989a99680
122658479b06008
13c8331012b483
14583d0b425c6c
15293eed0d1e85
hex149802eb3c88

22643116555400 has 384 divisors, whose sum is σ = 62719878528000. Its totient is φ = 7509672576000.

The previous prime is 22643116555399. The next prime is 22643116555481. The reversal of 22643116555400 is 455561134622.

It is a super-2 number, since 2×226431165554002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420606485 + ... + 420660315.

It is an arithmetic number, because the mean of its divisors is an integer number (163333017000).

Almost surely, 222643116555400 is an apocalyptic number.

22643116555400 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 22643116555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31359939264000).

22643116555400 is an abundant number, since it is smaller than the sum of its proper divisors (40076761972600).

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

22643116555400 is a wasteful number, since it uses less digits than its factorization.

22643116555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54253 (or 54244 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 22643116555400 in words is "twenty-two trillion, six hundred forty-three billion, one hundred sixteen million, five hundred fifty-five thousand, four hundred".