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22420010104440 = 23351332621440569
BaseRepresentation
bin1010001100100000100001…
…01111001111011001111000
32221101022222001102100112220
411012100100233033121320
510414312140041320230
6115403335505204040
74502535515350614
oct506202057173170
987338861370486
1022420010104440
117164300240913
122621194030620
13c6827598b310
145771c4666344
1528d2e1321d10
hex146410bcf678

22420010104440 has 128 divisors (see below), whose sum is σ = 72436263681600. Its totient is φ = 5518590013440.

The previous prime is 22420010104423. The next prime is 22420010104489. The reversal of 22420010104440 is 4440101002422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22420010104440.

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, 50668476 + ... + 51109044.

Almost surely, 222420010104440 is an apocalyptic number.

22420010104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420010104440 is an abundant number, since it is smaller than the sum of its proper divisors (50016253577160).

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

22420010104440 is a wasteful number, since it uses less digits than its factorization.

22420010104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473217 (or 473213 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22420010104440 its reverse (4440101002422), we get a palindrome (26860111106862).

The spelling of 22420010104440 in words is "twenty-two trillion, four hundred twenty billion, ten million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 32621 65242 97863 130484 163105 195726 260968 326210 391452 424073 440569 489315 652420 782904 848146 881138 978630 1272219 1304840 1321707 1696292 1762276 1957260 2120365 2202845 2544438 2643414 3392584 3524552 3914520 4240730 4405690 5088876 5286828 5727397 6361095 6608535 8481460 8811380 10177752 10573656 11454794 12722190 13217070 16962920 17182191 17622760 22909588 25444380 26434140 28636985 34364382 45819176 50888760 52868280 57273970 68728764 85910955 114547940 137457528 171821910 229095880 343643820 687287640 14371801349 28743602698 43115404047 57487205396 71859006745 86230808094 114974410792 143718013490 172461616188 186833417537 215577020235 287436026980 344923232376 373666835074 431154040470 560500252611 574872053960 747333670148 862308080940 934167087685 1121000505222 1494667340296 1724616161880 1868334175370 2242001010444 2802501263055 3736668350740 4484002020888 5605002526110 7473336701480 11210005052220 22420010104440