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104222340504 = 233217231161573
BaseRepresentation
bin110000100010000100…
…0101011010110011000
3100222000102201110112100
41201010020223112120
53201421404344004
6115513514243400
710346504164062
oct1410410532630
9328012643470
10104222340504
1140222881007
1218247a26560
139a9c50ac89
145089b30732
152a9ec7d739
hex184422b598

104222340504 has 144 divisors (see below), whose sum is σ = 309524080320. Its totient is φ = 31642260480.

The previous prime is 104222340503. The next prime is 104222340527. The reversal of 104222340504 is 405043222401.

104222340504 is a `hidden beast` number, since 1 + 0 + 422 + 234 + 0 + 5 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104222340503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564262 + ... + 725834.

It is an arithmetic number, because the mean of its divisors is an integer number (2149472780).

Almost surely, 2104222340504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104222340504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154762040160).

104222340504 is an abundant number, since it is smaller than the sum of its proper divisors (205301739816).

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

104222340504 is a wasteful number, since it uses less digits than its factorization.

104222340504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161650 (or 161626 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 104222340504 its reverse (405043222401), we get a palindrome (509265562905).

The spelling of 104222340504 in words is "one hundred four billion, two hundred twenty-two million, three hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 289 306 372 408 527 558 578 612 744 867 1054 1116 1156 1224 1581 1734 2108 2232 2312 2601 3162 3468 4216 4743 5202 6324 6936 8959 9486 10404 12648 17918 18972 20808 26877 35836 37944 53754 71672 80631 107508 161262 161573 215016 322524 323146 484719 645048 646292 969438 1292584 1454157 1938876 2746741 2908314 3877752 5008763 5493482 5816628 8240223 10017526 10986964 11633256 15026289 16480446 20035052 21973928 24720669 30052578 32960892 40070104 45078867 46694597 49441338 60105156 65921784 85148971 90157734 93389194 98882676 120210312 140083791 170297942 180315468 186778388 197765352 255446913 280167582 340595884 360630936 373556776 420251373 510893826 560335164 681191768 766340739 840502746 1021787652 1120670328 1447532507 1532681478 1681005492 2043575304 2895065014 3065362956 3362010984 4342597521 5790130028 6130725912 8685195042 11580260056 13027792563 17370390084 26055585126 34740780168 52111170252 104222340504