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122230240 = 25511371877
BaseRepresentation
bin1110100100100…
…01010111100000
322111222221100221
413102101113200
5222242331430
620043452424
73012640246
oct722212740
9274887327
10122230240
1162aa5430
1234b27114
131c4280b2
141233a796
15aae657a
hex74915e0

122230240 has 96 divisors (see below), whose sum is σ = 323707104. Its totient is φ = 43223040.

The previous prime is 122230231. The next prime is 122230279. The reversal of 122230240 is 42032221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64182 + ... + 66058.

It is an arithmetic number, because the mean of its divisors is an integer number (3371949).

Almost surely, 2122230240 is an apocalyptic number.

122230240 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 122230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161853552).

122230240 is an abundant number, since it is smaller than the sum of its proper divisors (201476864).

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

122230240 is a wasteful number, since it uses less digits than its factorization.

122230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122230240 is about 11055.7785795483. The cubic root of 122230240 is about 496.2793691522.

Adding to 122230240 its reverse (42032221), we get a palindrome (164262461).

The spelling of 122230240 in words is "one hundred twenty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 1877 2035 2960 3256 3754 4070 5920 6512 7508 8140 9385 13024 15016 16280 18770 20647 30032 32560 37540 41294 60064 65120 69449 75080 82588 103235 138898 150160 165176 206470 277796 300320 330352 347245 412940 555592 660704 694490 763939 825880 1111184 1388980 1527878 1651760 2222368 2777960 3055756 3303520 3819695 5555920 6111512 7639390 11111840 12223024 15278780 24446048 30557560 61115120 122230240