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226323968 = 291337919
BaseRepresentation
bin11010111110101…
…10111000000000
3120202212110010012
431133112320000
5430414331333
634242524052
75415502433
oct1537267000
9522773105
10226323968
11106832602
1263966628
1337b73010
14220b581a
1514d08e48
hexd7d6e00

226323968 has 80 divisors (see below), whose sum is σ = 500697120. Its totient is φ = 101523456.

The previous prime is 226323967. The next prime is 226323983. The reversal of 226323968 is 869323622.

226323968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226323961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245813 + ... + 246731.

It is an arithmetic number, because the mean of its divisors is an integer number (6258714).

Almost surely, 2226323968 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 226323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250348560).

226323968 is an abundant number, since it is smaller than the sum of its proper divisors (274373152).

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

226323968 is an equidigital number, since it uses as much as digits as its factorization.

226323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 226323968 is about 15044.0675350784. The cubic root of 226323968 is about 609.4108510418.

The spelling of 226323968 in words is "two hundred twenty-six million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 919 962 1184 1664 1838 1924 2368 3328 3676 3848 4736 6656 7352 7696 9472 11947 14704 15392 18944 23894 29408 30784 34003 47788 58816 61568 68006 95576 117632 123136 136012 191152 235264 246272 272024 382304 442039 470528 544048 764608 884078 1088096 1529216 1768156 2176192 3058432 3536312 4352384 6116864 7072624 8704768 14145248 17409536 28290496 56580992 113161984 226323968