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221122231120 = 24572833833643
BaseRepresentation
bin1100110111101111101…
…0010111101101010000
3210010202101111012102201
43031323322113231100
512110324242343440
6245325424452544
721655420644520
oct3157372275520
9703671435381
10221122231120
118586080a05a
1236a3147a154
1317b0c35c59b
14a9b9451680
155b429b819a
hex337be97b50

221122231120 has 160 divisors (see below), whose sum is σ = 591331295232. Its totient is φ = 75327515136.

The previous prime is 221122231103. The next prime is 221122231159. The reversal of 221122231120 is 21132221122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60696019 + ... + 60699661.

Almost surely, 2221122231120 is an apocalyptic number.

221122231120 is a gapful number since it is divisible by the number (20) 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 221122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295665647616).

221122231120 is an abundant number, since it is smaller than the sum of its proper divisors (370209064112).

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

221122231120 is a wasteful number, since it uses less digits than its factorization.

221122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221122231120 its reverse (21132221122), we get a palindrome (242254452242).

The spelling of 221122231120 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 283 383 560 566 766 1132 1415 1532 1915 1981 2264 2681 2830 3064 3643 3830 3962 4528 5362 5660 6128 7286 7660 7924 9905 10724 11320 13405 14572 15320 15848 18215 19810 21448 22640 25501 26810 29144 30640 31696 36430 39620 42896 51002 53620 58288 72860 79240 102004 107240 108389 127505 145720 158480 204008 214480 216778 255010 291440 408016 433556 510020 541945 758723 867112 1020040 1030969 1083890 1395269 1517446 1734224 2040080 2061938 2167780 2790538 3034892 3793615 4123876 4335560 5154845 5581076 6069784 6976345 7216783 7587230 8247752 8671120 9766883 10309690 11162152 12139568 13952690 14433566 15174460 16495504 19533766 20619380 22324304 27905380 28867132 30348920 36083915 39067532 41238760 48834415 55810760 57734264 60697840 72167830 78135064 82477520 97668830 111621520 115468528 144335660 156270128 195337660 288671320 390675320 394861127 577342640 781350640 789722254 1579444508 1974305635 2764027889 3158889016 3948611270 5528055778 6317778032 7897222540 11056111556 13820139445 15794445080 22112223112 27640278890 31588890160 44224446224 55280557780 110561115560 221122231120