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46222056 = 23332947157
BaseRepresentation
bin1011000001010…
…0101011101000
310012222022202000
42300110223220
543313101211
64330411000
71100611116
oct260245350
9105868660
1046222056
1124100351
1213590a60
13976493a
1461d2ab6
1540d0656
hex2c14ae8

46222056 has 128 divisors (see below), whose sum is σ = 136512000. Its totient is φ = 14466816.

The previous prime is 46222051. The next prime is 46222069. The reversal of 46222056 is 65022264.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46222051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294330 + ... + 294486.

It is an arithmetic number, because the mean of its divisors is an integer number (1066500).

Almost surely, 246222056 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 46222056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256000).

46222056 is an abundant number, since it is smaller than the sum of its proper divisors (90289944).

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

46222056 is a wasteful number, since it uses less digits than its factorization.

46222056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46222056 is about 6798.6804602070. The cubic root of 46222056 is about 358.8804106084.

The spelling of 46222056 in words is "forty-six million, two hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 47 54 58 72 87 94 108 116 141 157 174 188 216 232 261 282 314 348 376 423 471 522 564 628 696 783 846 942 1044 1128 1256 1269 1363 1413 1566 1692 1884 2088 2538 2726 2826 3132 3384 3768 4089 4239 4553 5076 5452 5652 6264 7379 8178 8478 9106 10152 10904 11304 12267 13659 14758 16356 16956 18212 22137 24534 27318 29516 32712 33912 36424 36801 40977 44274 49068 54636 59032 66411 73602 81954 88548 98136 109272 122931 132822 147204 163908 177096 199233 213991 245862 265644 294408 327816 398466 427982 491724 531288 641973 796932 855964 983448 1283946 1593864 1711928 1925919 2567892 3851838 5135784 5777757 7703676 11555514 15407352 23111028 46222056