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1222228320 = 25353182139
BaseRepresentation
bin100100011011001…
…1011100101100000
310011011211122001120
41020312123211200
510000342301240
6321140332240
742200524605
oct11066334540
93134748046
101222228320
11577a09255
122a13a4080
131662a7c31
14b84786ac
157247bad0
hex48d9b960

1222228320 has 96 divisors (see below), whose sum is σ = 3974261760. Its totient is φ = 315409920.

The previous prime is 1222228253. The next prime is 1222228321. The reversal of 1222228320 is 238222221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12222283203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222228321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26190 + ... + 55949.

It is an arithmetic number, because the mean of its divisors is an integer number (41398560).

Almost surely, 21222228320 is an apocalyptic number.

1222228320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222228320 is an abundant number, since it is smaller than the sum of its proper divisors (2752033440).

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

1222228320 is a wasteful number, since it uses less digits than its factorization.

1222228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82188 (or 82180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1222228320 is about 34960.3821489411. The cubic root of 1222228320 is about 1069.1798880712.

The spelling of 1222228320 in words is "one billion, two hundred twenty-two million, two hundred twenty-eight thousand, three hundred twenty".

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 14880 82139 164278 246417 328556 410695 492834 657112 821390 985668 1232085 1314224 1642780 1971336 2464170 2546309 2628448 3285560 3942672 4928340 5092618 6571120 7638927 7885344 9856680 10185236 12731545 13142240 15277854 19713360 20370472 25463090 30555708 38194635 39426720 40740944 50926180 61111416 76389270 81481888 101852360 122222832 152778540 203704720 244445664 305557080 407409440 611114160 1222228320