Search a number
-
+
22222001011120 = 2451004932764123
BaseRepresentation
bin1010000110101111101100…
…11110011111100110110000
32220200101212110101012120221
411003113312132133212300
510403041124224323440
6115132351335142424
74452325621003351
oct503276636374660
986611773335527
1022222001011120
117098330276339
1225aa933214a14
13c526aac81541
1456b79cb53d28
152880a2a65d4a
hex1435f679f9b0

22222001011120 has 40 divisors (see below), whose sum is σ = 51666685169616. Its totient is φ = 8888708736768.

The previous prime is 22222001011117. The next prime is 22222001011129. The reversal of 22222001011120 is 2111010022222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22222001011094 and 22222001011103.

It is not an unprimeable number, because it can be changed into a prime (22222001011129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6657379 + ... + 9421501.

Almost surely, 222222001011120 is an apocalyptic number.

22222001011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222001011120 is an abundant number, since it is smaller than the sum of its proper divisors (29444684158496).

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

22222001011120 is a wasteful number, since it uses less digits than its factorization.

22222001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864629 (or 2864623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22222001011120 its reverse (2111010022222), we get a palindrome (24333011033342).

The spelling of 22222001011120 in words is "twenty-two trillion, two hundred twenty-two billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 100493 200986 401972 502465 803944 1004930 1607888 2009860 2764123 4019720 5528246 8039440 11056492 13820615 22112984 27641230 44225968 55282460 110564920 221129840 277775012639 555550025278 1111100050556 1388875063195 2222200101112 2777750126390 4444400202224 5555500252780 11111000505560 22222001011120