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226801416 = 23337536179
BaseRepresentation
bin11011000010010…
…11011100001000
3120210202201001110
431201023130020
5431030121131
634301050320
75422531422
oct1541133410
9523681043
10226801416
11107029296
1263b569a0
1337cac42a
142219b812
1514da0646
hexd84b708

226801416 has 128 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 70087680.

The previous prime is 226801409. The next prime is 226801427. The reversal of 226801416 is 614108622.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2870865 + ... + 2870943.

It is an arithmetic number, because the mean of its divisors is an integer number (4770900).

Almost surely, 2226801416 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 226801416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

226801416 is an abundant number, since it is smaller than the sum of its proper divisors (383873784).

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

226801416 is a wasteful number, since it uses less digits than its factorization.

226801416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 226801416 is about 15059.9274898653. The cubic root of 226801416 is about 609.8390832373.

The spelling of 226801416 in words is "two hundred twenty-six million, eight hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 53 61 74 79 106 111 122 148 158 159 183 212 222 237 244 296 316 318 366 424 444 474 488 632 636 732 888 948 1272 1464 1896 1961 2257 2923 3233 3922 4187 4514 4819 5846 5883 6466 6771 7844 8374 8769 9028 9638 9699 11692 11766 12561 12932 13542 14457 15688 16748 17538 18056 19276 19398 23384 23532 25122 25864 27084 28914 33496 35076 38552 38796 47064 50244 54168 57828 70152 77592 100488 115656 119621 154919 178303 239242 255407 309838 356606 358863 464757 478484 510814 534909 619676 713212 717726 766221 929514 956968 1021628 1069818 1239352 1426424 1435452 1532442 1859028 2043256 2139636 2870904 3064884 3718056 4279272 6129768 9450059 18900118 28350177 37800236 56700354 75600472 113400708 226801416