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122230440 = 233251632083
BaseRepresentation
bin1110100100100…
…01011010101000
322111222221122100
413102101122220
5222242333230
620043453400
73012640653
oct722213250
9274887570
10122230440
1162aa55a2
1234b27260
131c428207
141233a89a
15aae6660
hex74916a8

122230440 has 96 divisors (see below), whose sum is σ = 399877920. Its totient is φ = 32379264.

The previous prime is 122230429. The next prime is 122230457. The reversal of 122230440 is 44032221.

122230440 is a `hidden beast` number, since 1 + 2 + 223 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57639 + ... + 59721.

It is an arithmetic number, because the mean of its divisors is an integer number (4165395).

Almost surely, 2122230440 is an apocalyptic number.

122230440 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 122230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199938960).

122230440 is an abundant number, since it is smaller than the sum of its proper divisors (277647480).

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

122230440 is a wasteful number, since it uses less digits than its factorization.

122230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122230440 is about 11055.7876245883. The cubic root of 122230440 is about 496.2796398322.

Adding to 122230440 its reverse (44032221), we get a palindrome (166262661).

The spelling of 122230440 in words is "one hundred twenty-two million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2083 2445 2934 3260 3912 4166 4890 5868 6249 6520 7335 8332 9780 10415 11736 12498 14670 16664 18747 19560 20830 24996 29340 31245 37494 41660 49992 58680 62490 74988 83320 93735 124980 149976 187470 249960 339529 374940 679058 749880 1018587 1358116 1697645 2037174 2716232 3055761 3395290 4074348 5092935 6111522 6790580 8148696 10185870 12223044 13581160 15278805 20371740 24446088 30557610 40743480 61115220 122230440