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22244014320 = 24351113960617
BaseRepresentation
bin10100101101110110…
…001011100011110000
32010102020001000012020
4110231312023203300
5331023431424240
614115130231440
71415141000463
oct245566134360
963366030166
1022244014320
119485191210
124389585580
13213657a068
14111033d2da
158a2c7e0d0
hex52dd8b8f0

22244014320 has 160 divisors (see below), whose sum is σ = 75767650560. Its totient is φ = 5353605120.

The previous prime is 22244014301. The next prime is 22244014339. The reversal of 22244014320 is 2341044222.

It is an interprime number because it is at equal distance from previous prime (22244014301) and next prime (22244014339).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336652 + ... + 397268.

It is an arithmetic number, because the mean of its divisors is an integer number (473547816).

Almost surely, 222244014320 is an apocalyptic number.

22244014320 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 22244014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37883825280).

22244014320 is an abundant number, since it is smaller than the sum of its proper divisors (53523636240).

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

22244014320 is a wasteful number, since it uses less digits than its factorization.

22244014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60783 (or 60777 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22244014320 its reverse (2341044222), we get a palindrome (24585058542).

The spelling of 22244014320 in words is "twenty-two billion, two hundred forty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 139 165 176 220 240 264 278 330 417 440 528 556 660 695 834 880 1112 1320 1390 1529 1668 2085 2224 2640 2780 3058 3336 4170 4587 5560 6116 6672 7645 8340 9174 11120 12232 15290 16680 18348 22935 24464 30580 33360 36696 45870 60617 61160 73392 91740 121234 122320 181851 183480 242468 303085 363702 366960 484936 606170 666787 727404 909255 969872 1212340 1333574 1454808 1818510 2000361 2424680 2667148 2909616 3333935 3637020 4000722 4849360 5334296 6667870 7274040 8001444 8425763 10001805 10668592 13335740 14548080 16002888 16851526 20003610 25277289 26671480 32005776 33703052 40007220 42128815 50554578 53342960 67406104 80014440 84257630 92683393 101109156 126386445 134812208 160028880 168515260 185366786 202218312 252772890 278050179 337030520 370733572 404436624 463416965 505545780 556100358 674061040 741467144 926833930 1011091560 1112200716 1390250895 1482934288 1853667860 2022183120 2224401432 2780501790 3707335720 4448802864 5561003580 7414671440 11122007160 22244014320