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166220740 = 225721979113
BaseRepresentation
bin10011110100001…
…01001111000100
3102120202212222201
421322011033010
5320023030430
624254404244
74055565400
oct1172051704
9376685881
10166220740
1185911114
1247800684
132858b08a
141810c100
15e8d58ca
hex9e853c4

166220740 has 144 divisors (see below), whose sum is σ = 436665600. Its totient is φ = 52835328.

The previous prime is 166220737. The next prime is 166220771. The reversal of 166220740 is 47022661.

It is a super-2 number, since 2×1662207402 = 55258668812295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 166220699 and 166220708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470924 + ... + 1471036.

It is an arithmetic number, because the mean of its divisors is an integer number (3032400).

Almost surely, 2166220740 is an apocalyptic number.

166220740 is a gapful number since it is divisible by the number (10) 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 166220740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218332800).

166220740 is an abundant number, since it is smaller than the sum of its proper divisors (270444860).

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

166220740 is a wasteful number, since it uses less digits than its factorization.

166220740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 166220740 is about 12892.6622541661. The cubic root of 166220740 is about 549.8299639666.

The spelling of 166220740 in words is "one hundred sixty-six million, two hundred twenty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 79 95 98 113 133 140 158 190 196 226 245 266 316 380 395 452 490 532 553 565 665 790 791 931 980 1106 1130 1330 1501 1580 1582 1862 2147 2212 2260 2660 2765 3002 3164 3724 3871 3955 4294 4655 5530 5537 6004 7505 7742 7910 8588 8927 9310 10507 10735 11060 11074 15010 15029 15484 15820 17854 18620 19355 21014 21470 22148 27685 30020 30058 35708 38710 42028 42940 44635 52535 55370 60116 62489 73549 75145 77420 89270 105070 105203 110740 124978 147098 150290 169613 178540 210140 210406 249956 294196 300580 312445 339226 367745 420812 437423 526015 624890 678452 735490 848065 874846 1052030 1187291 1249780 1470980 1696130 1749692 2104060 2187115 2374582 3392260 4374230 4749164 5936455 8311037 8748460 11872910 16622074 23745820 33244148 41555185 83110370 166220740