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226623488 = 21771319
BaseRepresentation
bin11011000001000…
…00000000000000
3120210102122222112
431200200000000
5431003422423
634253154452
75421160610
oct1540400000
9523378875
10226623488
11106a17643
1263a8ba28
1337c49450
1422152a40
1514d67a78
hexd820000

226623488 has 144 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 84934656.

The previous prime is 226623457. The next prime is 226623493. The reversal of 226623488 is 884326622.

It is a super-2 number, since 2×2266234882 = 102716410626572288, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11927543 + ... + 11927561.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2226623488 is an apocalyptic number.

226623488 is a gapful number since it is divisible by the number (28) 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 226623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

226623488 is an abundant number, since it is smaller than the sum of its proper divisors (360576832).

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

226623488 is an frugal number, since it uses more digits than its factorization.

226623488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The square root of 226623488 is about 15054.0189982609. The cubic root of 226623488 is about 609.6795665438.

The spelling of 226623488 in words is "two hundred twenty-six million, six hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 364 416 448 494 512 532 608 728 832 896 988 1024 1064 1216 1456 1664 1729 1792 1976 2048 2128 2432 2912 3328 3458 3584 3952 4096 4256 4864 5824 6656 6916 7168 7904 8192 8512 9728 11648 13312 13832 14336 15808 16384 17024 19456 23296 26624 27664 28672 31616 32768 34048 38912 46592 53248 55328 57344 63232 65536 68096 77824 93184 106496 110656 114688 126464 131072 136192 155648 186368 212992 221312 229376 252928 272384 311296 372736 425984 442624 458752 505856 544768 622592 745472 851968 885248 917504 1011712 1089536 1245184 1490944 1703936 1770496 2023424 2179072 2490368 2981888 3540992 4046848 4358144 5963776 7081984 8093696 8716288 11927552 14163968 16187392 17432576 28327936 32374784 56655872 113311744 226623488