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196222560 = 25353113187
BaseRepresentation
bin10111011001000…
…01111001100000
3111200020010202020
423230201321200
5400213110220
631245421440
74601602302
oct1354417140
9450203666
10196222560
11a0842a06
125586a880
1331863b31
141c0bb972
1512360040
hexbb21e60

196222560 has 96 divisors (see below), whose sum is σ = 638088192. Its totient is φ = 50634240.

The previous prime is 196222549. The next prime is 196222567. The reversal of 196222560 is 65222691.

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 (196222567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8287 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (6646752).

Almost surely, 2196222560 is an apocalyptic number.

196222560 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 196222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319044096).

196222560 is an abundant number, since it is smaller than the sum of its proper divisors (441865632).

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

196222560 is a wasteful number, since it uses less digits than its factorization.

196222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 196222560 is about 14007.9463162878. The cubic root of 196222560 is about 581.0983547052.

The spelling of 196222560 in words is "one hundred ninety-six million, two hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 13187 14880 26374 39561 52748 65935 79122 105496 131870 158244 197805 210992 263740 316488 395610 408797 421984 527480 632976 791220 817594 1054960 1226391 1265952 1582440 1635188 2043985 2109920 2452782 3164880 3270376 4087970 4905564 6131955 6329760 6540752 8175940 9811128 12263910 13081504 16351880 19622256 24527820 32703760 39244512 49055640 65407520 98111280 196222560