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226698048 = 26331271033
BaseRepresentation
bin11011000001100…
…10001101000000
3120210120110021000
431200302031000
5431013314143
634254532000
75421621153
oct1540621500
9523513230
10226698048
11106a68665
1263b07000
1337c74375
1422171c9a
1514d7ebd3
hexd832340

226698048 has 112 divisors (see below), whose sum is σ = 672348160. Its totient is φ = 74898432.

The previous prime is 226698029. The next prime is 226698053. The reversal of 226698048 is 840896622.

It is a junction number, because it is equal to n+sod(n) for n = 226697994 and 226698012.

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, 218940 + ... + 219972.

Almost surely, 2226698048 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 226698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336174080).

226698048 is an abundant number, since it is smaller than the sum of its proper divisors (445650112).

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

226698048 is a wasteful number, since it uses less digits than its factorization.

226698048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 226698048 is about 15056.4952097093. The cubic root of 226698048 is about 609.7464215207.

The spelling of 226698048 in words is "two hundred twenty-six million, six hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1033 1143 1524 1728 2032 2066 2286 3048 3099 3429 4064 4132 4572 6096 6198 6858 8128 8264 9144 9297 12192 12396 13716 16528 18288 18594 24384 24792 27432 27891 33056 36576 37188 49584 54864 55782 66112 73152 74376 99168 109728 111564 131191 148752 198336 219456 223128 262382 297504 393573 446256 524764 595008 787146 892512 1049528 1180719 1574292 1785024 2099056 2361438 3148584 3542157 4198112 4722876 6297168 7084314 8396224 9445752 12594336 14168628 18891504 25188672 28337256 37783008 56674512 75566016 113349024 226698048