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1222250240 = 28519291733
BaseRepresentation
bin100100011011010…
…0000111100000000
310011011212202010102
41020312200330000
510000344001430
6321141021532
742200645531
oct11066407400
93134782112
101222250240
11577a23772
122a13b48a8
131662b4bc3
14b8482688
1572483345
hex48da0f00

1222250240 has 144 divisors (see below), whose sum is σ = 3189866400. Its totient is φ = 446939136.

The previous prime is 1222250233. The next prime is 1222250251. The reversal of 1222250240 is 420522221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704414 + ... + 706146.

It is an arithmetic number, because the mean of its divisors is an integer number (22151850).

Almost surely, 21222250240 is an apocalyptic number.

1222250240 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 1222250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594933200).

1222250240 is an abundant number, since it is smaller than the sum of its proper divisors (1967616160).

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

1222250240 is a wasteful number, since it uses less digits than its factorization.

1222250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1222250240 is about 34960.6956452528. The cubic root of 1222250240 is about 1069.1862797529.

Adding to 1222250240 its reverse (420522221), we get a palindrome (1642772461).

The spelling of 1222250240 in words is "one billion, two hundred twenty-two million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 190 232 256 290 304 320 380 464 551 580 608 640 760 928 1102 1160 1216 1280 1520 1733 1856 2204 2320 2432 2755 3040 3466 3712 4408 4640 4864 5510 6080 6932 7424 8665 8816 9280 11020 12160 13864 17330 17632 18560 22040 24320 27728 32927 34660 35264 37120 44080 50257 55456 65854 69320 70528 88160 100514 110912 131708 138640 141056 164635 176320 201028 221824 251285 263416 277280 329270 352640 402056 443648 502570 526832 554560 658540 705280 804112 954883 1005140 1053664 1109120 1317080 1608224 1909766 2010280 2107328 2218240 2634160 3216448 3819532 4020560 4214656 4774415 5268320 6432896 7639064 8041120 8429312 9548830 10536640 12865792 15278128 16082240 19097660 21073280 30556256 32164480 38195320 42146560 61112512 64328960 76390640 122225024 152781280 244450048 305562560 611125120 1222250240