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42230222203224 = 23311251637302641
BaseRepresentation
bin10011001101000011111010…
…11001001010100101011000
312112112011120210110112200010
421212201331121022211120
521013344443341000344
6225452143554041520
711616014163015336
oct1146417531124530
9175464523415603
1042230222203224
1112501811548710
1248a05bbb792a0
131a743a6572593
14a5dd4cbb6b56
154d378953a8b9
hex26687d64a958

42230222203224 has 64 divisors (see below), whose sum is σ = 115632191364480. Its totient is φ = 12746052800000.

The previous prime is 42230222203171. The next prime is 42230222203343.

It is a happy number.

42230222203224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42230222203191 and 42230222203200.

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, 318585057 + ... + 318717584.

It is an arithmetic number, because the mean of its divisors is an integer number (1806752990070).

Almost surely, 242230222203224 is an apocalyptic number.

42230222203224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42230222203224 is an abundant number, since it is smaller than the sum of its proper divisors (73401969161256).

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

42230222203224 is a wasteful number, since it uses less digits than its factorization.

42230222203224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637302912 (or 637302908 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4223022 and 2203224, that added together give a palindrome (6426246).

The spelling of 42230222203224 in words is "forty-two trillion, two hundred thirty billion, two hundred twenty-two million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 251 264 502 753 1004 1506 2008 2761 3012 5522 6024 8283 11044 16566 22088 33132 66264 637302641 1274605282 1911907923 2549210564 3823815846 5098421128 7010329051 7647631692 14020658102 15295263384 21030987153 28041316204 42061974306 56082632408 84123948612 159962962891 168247897224 319925925782 479888888673 639851851564 959777777346 1279703703128 1759592591801 1919555554692 3519185183602 3839111109384 5278777775403 7038370367204 10557555550806 14076740734408 21115111101612 42230222203224