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226911072 = 25319314013
BaseRepresentation
bin11011000011001…
…10001101100000
3120210222021110210
431201212031200
5431042123242
634303254120
75423466213
oct1541461540
9523867423
10226911072
111070a3713
1263baa340
133801a30b
14221c977a
1514dc2d9c
hexd866360

226911072 has 96 divisors (see below), whose sum is σ = 647377920. Its totient is φ = 69327360.

The previous prime is 226911071. The next prime is 226911079. The reversal of 226911072 is 270119622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226911071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54538 + ... + 58550.

It is an arithmetic number, because the mean of its divisors is an integer number (6743520).

Almost surely, 2226911072 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 226911072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323688960).

226911072 is an abundant number, since it is smaller than the sum of its proper divisors (420466848).

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

226911072 is a wasteful number, since it uses less digits than its factorization.

226911072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 226911072 is about 15063.5677048965. The cubic root of 226911072 is about 609.9373509072.

The spelling of 226911072 in words is "two hundred twenty-six million, nine hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4013 4712 7068 8026 9424 12039 14136 16052 18848 24078 28272 32104 48156 56544 64208 76247 96312 124403 128416 152494 192624 228741 248806 304988 373209 385248 457482 497612 609976 746418 914964 995224 1219952 1492836 1829928 1990448 2363657 2439904 2985672 3659856 3980896 4727314 5971344 7090971 7319712 9454628 11942688 14181942 18909256 28363884 37818512 56727768 75637024 113455536 226911072