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22442422240 = 2557139914323
BaseRepresentation
bin10100111001101011…
…000010111111100000
32010221001101011200201
4110321223002333200
5331430230002430
614150534554544
71423100304310
oct247153027740
963831334621
1022442422240
119577186aa7
124423b08a54
1321686c77b4
14112c829440
158b53c18ca
hex539ac2fe0

22442422240 has 96 divisors (see below), whose sum is σ = 60642086400. Its totient is φ = 7688507904.

The previous prime is 22442422231. The next prime is 22442422253. The reversal of 22442422240 is 4222424422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22442422199 and 22442422208.

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, 1559719 + ... + 1574041.

It is an arithmetic number, because the mean of its divisors is an integer number (631688400).

Almost surely, 222442422240 is an apocalyptic number.

22442422240 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 22442422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30321043200).

22442422240 is an abundant number, since it is smaller than the sum of its proper divisors (38199664160).

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

22442422240 is a wasteful number, since it uses less digits than its factorization.

22442422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15744 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22442422240 its reverse (4222424422), we get a palindrome (26664846662).

The spelling of 22442422240 in words is "twenty-two billion, four hundred forty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1399 2798 5596 6995 9793 11192 13990 14323 19586 22384 27980 28646 39172 44768 48965 55960 57292 71615 78344 97930 100261 111920 114584 143230 156688 195860 200522 223840 229168 286460 313376 391720 401044 458336 501305 572920 783440 802088 1002610 1145840 1566880 1604176 2005220 2291680 3208352 4010440 8020880 16041760 20037877 40075754 80151508 100189385 140265139 160303016 200378770 280530278 320606032 400757540 561060556 641212064 701325695 801515080 1122121112 1402651390 1603030160 2244242224 2805302780 3206060320 4488484448 5610605560 11221211120 22442422240