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22400173040 = 2457291379321
BaseRepresentation
bin10100110111001001…
…111000001111110000
32010211002212200200112
4110313021320033300
5331333421014130
614142425240452
71422045220640
oct246711701760
963732780615
1022400173040
11955534a603
124411933128
13215ca2427b
141126d8c520
158b1828495
hex5372783f0

22400173040 has 80 divisors (see below), whose sum is σ = 61572934080. Its totient is φ = 7415224320.

The previous prime is 22400173039. The next prime is 22400173129. The reversal of 22400173040 is 4037100422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22400172997 and 22400173015.

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, 673421 + ... + 705900.

It is an arithmetic number, because the mean of its divisors is an integer number (769661676).

Almost surely, 222400173040 is an apocalyptic number.

22400173040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400173040 is an abundant number, since it is smaller than the sum of its proper divisors (39172761040).

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

22400173040 is a wasteful number, since it uses less digits than its factorization.

22400173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379370 (or 1379364 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 22400173040 its reverse (4037100422), we get a palindrome (26437273462).

The spelling of 22400173040 in words is "twenty-two billion, four hundred million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 1379321 2758642 5517284 6896605 9655247 11034568 13793210 19310494 22069136 27586420 38620988 40000309 48276235 55172840 77241976 80000618 96552470 110345680 154483952 160001236 193104940 200001545 280002163 320002472 386209880 400003090 560004326 640004944 772419760 800006180 1120008652 1400010815 1600012360 2240017304 2800021630 3200024720 4480034608 5600043260 11200086520 22400173040