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222031234104 = 23353593378779
BaseRepresentation
bin1100111011001000010…
…1111100010000111000
3210020002201221100002220
43032302011330100320
512114204443442404
6245555535524040
722020066231141
oct3166205742070
9706081840086
10222031234104
1186187930499
1237045989620
1317c25788a84
14aa64072ac8
155b976c24d9
hex33b217c438

222031234104 has 128 divisors (see below), whose sum is σ = 576909216000. Its totient is φ = 71163316224.

The previous prime is 222031234067. The next prime is 222031234147. The reversal of 222031234104 is 401432130222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25286787 + ... + 25295565.

It is an arithmetic number, because the mean of its divisors is an integer number (4507103250).

Almost surely, 2222031234104 is an apocalyptic number.

222031234104 is a gapful number since it is divisible by the number (24) 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 222031234104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288454608000).

222031234104 is an abundant number, since it is smaller than the sum of its proper divisors (354877981896).

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

222031234104 is a wasteful number, since it uses less digits than its factorization.

222031234104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222031234104 its reverse (401432130222), we get a palindrome (623463364326).

The spelling of 222031234104 in words is "two hundred twenty-two billion, thirty-one million, two hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 59 106 118 159 177 212 236 318 337 354 424 472 636 674 708 1011 1272 1348 1416 2022 2696 3127 4044 6254 8088 8779 9381 12508 17558 17861 18762 19883 25016 26337 35116 35722 37524 39766 52674 53583 59649 70232 71444 75048 79532 105348 107166 119298 142888 159064 210696 214332 238596 428664 465287 477192 517961 930574 1035922 1053799 1395861 1553883 1861148 2071844 2107598 2791722 2958523 3107766 3161397 3722296 4143688 4215196 5583444 5917046 6215532 6322794 8430392 8875569 11166888 11834092 12431064 12645588 17751138 23668184 25291176 27451933 35502276 54903866 71004552 82355799 109807732 156801719 164711598 174552857 219615464 313603438 329423196 349105714 470405157 523658571 627206876 658846392 698211428 940810314 1047317142 1254413752 1396422856 1881620628 2094634284 3763241256 4189268568 9251301421 18502602842 27753904263 37005205684 55507808526 74010411368 111015617052 222031234104