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22211344980 = 223251150922039
BaseRepresentation
bin10100101011111001…
…100011101001010100
32010022221120020021200
4110223321203221110
5330442101014410
614112002112500
71414263213546
oct245371435124
963287506250
1022211344980
1194687a8260
12437a64b730
13212c87c0a6
141109c77696
1589ee793c0
hex52be63a54

22211344980 has 144 divisors (see below), whose sum is σ = 73647100800. Its totient is φ = 5373745920.

The previous prime is 22211344957. The next prime is 22211345027. The reversal of 22211344980 is 8944311222.

22211344980 is a `hidden beast` number, since 2 + 22 + 113 + 449 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996801 + ... + 1018839.

It is an arithmetic number, because the mean of its divisors is an integer number (511438200).

Almost surely, 222211344980 is an apocalyptic number.

22211344980 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 22211344980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36823550400).

22211344980 is an abundant number, since it is smaller than the sum of its proper divisors (51435755820).

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

22211344980 is a wasteful number, since it uses less digits than its factorization.

22211344980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22574 (or 22569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22211344980 in words is "twenty-two billion, two hundred eleven million, three hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 509 660 990 1018 1527 1980 2036 2545 3054 4581 5090 5599 6108 7635 9162 10180 11198 15270 16797 18324 22039 22396 22905 27995 30540 33594 44078 45810 50391 55990 66117 67188 83985 88156 91620 100782 110195 111980 132234 167970 198351 201564 220390 242429 251955 264468 330585 335940 396702 440780 484858 503910 661170 727287 793404 969716 991755 1007820 1212145 1322340 1454574 1983510 2181861 2424290 2909148 3636435 3967020 4363722 4848580 7272870 8727444 10909305 11217851 14545740 21818610 22435702 33653553 43637220 44871404 56089255 67307106 100960659 112178510 123396361 134614212 168267765 201921318 224357020 246792722 336535530 370189083 403842636 493585444 504803295 616981805 673071060 740378166 1009606590 1110567249 1233963610 1480756332 1850945415 2019213180 2221134498 2467927220 3701890830 4442268996 5552836245 7403781660 11105672490 22211344980