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22312022000 = 245349122721
BaseRepresentation
bin10100110001111001…
…100110111111110000
32010120222000011012012
4110301321212333300
5331143334201000
614130000022052
71416625025552
oct246171467760
963528004165
1022312022000
11950a611404
1243a8301928
13214769baa8
1411193a34d2
158a8c14735
hex531e66ff0

22312022000 has 80 divisors (see below), whose sum is σ = 54062727264. Its totient is φ = 8906240000.

The previous prime is 22312021997. The next prime is 22312022023. The reversal of 22312022000 is 22021322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223120220003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970640 + ... + 993360.

Almost surely, 222312022000 is an apocalyptic number.

22312022000 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 22312022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031363632).

22312022000 is an abundant number, since it is smaller than the sum of its proper divisors (31750705264).

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

22312022000 is a wasteful number, since it uses less digits than its factorization.

22312022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22312022000 its reverse (22021322), we get a palindrome (22334043322).

The spelling of 22312022000 in words is "twenty-two billion, three hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 491 500 982 1000 1964 2000 2455 3928 4910 7856 9820 12275 19640 22721 24550 39280 45442 49100 61375 90884 98200 113605 122750 181768 196400 227210 245500 363536 454420 491000 568025 908840 982000 1136050 1817680 2272100 2840125 4544200 5680250 9088400 11156011 11360500 22312022 22721000 44624044 45442000 55780055 89248088 111560110 178496176 223120220 278900275 446240440 557800550 892480880 1115601100 1394501375 2231202200 2789002750 4462404400 5578005500 11156011000 22312022000