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10225333104 = 2437674331049
BaseRepresentation
bin10011000010111101…
…00011001101110000
3222101121202202000220
421201132203031300
5131420141124404
64410352213040
7511251616530
oct114136431560
928347682026
1010225333104
114377a30118
121b9453a180
13c6c5a447c
146d005b4c0
153eca6d4d9
hex2617a3370

10225333104 has 160 divisors (see below), whose sum is σ = 30739699200. Its totient is φ = 2868535296.

The previous prime is 10225333099. The next prime is 10225333109. The reversal of 10225333104 is 40133352201.

It is an interprime number because it is at equal distance from previous prime (10225333099) and next prime (10225333109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225333109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9747172 + ... + 9748220.

It is an arithmetic number, because the mean of its divisors is an integer number (192123120).

Almost surely, 210225333104 is an apocalyptic number.

10225333104 is a gapful number since it is divisible by the number (14) 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 10225333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369849600).

10225333104 is an abundant number, since it is smaller than the sum of its proper divisors (20514366096).

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

10225333104 is a wasteful number, since it uses less digits than its factorization.

10225333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10225333104 its reverse (40133352201), we get a palindrome (50358685305).

The spelling of 10225333104 in words is "ten billion, two hundred twenty-five million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 433 469 536 804 866 938 1049 1072 1299 1407 1608 1732 1876 2098 2598 2814 3031 3147 3216 3464 3752 4196 5196 5628 6062 6294 6928 7343 7504 8392 9093 10392 11256 12124 12588 14686 16784 18186 20784 22029 22512 24248 25176 29011 29372 36372 44058 48496 50352 58022 58744 70283 72744 87033 88116 116044 117488 140566 145488 174066 176232 203077 210849 232088 281132 348132 352464 406154 421698 454217 464176 491981 562264 609231 696264 812308 843396 908434 983962 1124528 1218462 1362651 1392528 1475943 1624616 1686792 1816868 1967924 2436924 2725302 2951886 3179519 3249232 3373584 3633736 3935848 4873848 5450604 5903772 6359038 7267472 7871696 9538557 9747696 10901208 11807544 12718076 19077114 21802416 23615088 25436152 30432539 38154228 50872304 60865078 76308456 91297617 121730156 152616912 182595234 213027773 243460312 365190468 426055546 486920624 639083319 730380936 852111092 1278166638 1460761872 1704222184 2556333276 3408444368 5112666552 10225333104