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22234120020 = 22325771248537
BaseRepresentation
bin10100101101010000…
…011011111101010100
32010101112102022202200
4110231100123331110
5331013413320040
614114134204500
71414660621230
oct245520337524
963345368680
1022234120020
11947a643502
1243861b3730
1321344c4648
14110ccc55c0
158a1e77630
hex52d41bf54

22234120020 has 144 divisors (see below), whose sum is σ = 78164206848. Its totient is φ = 5010485760.

The previous prime is 22234120009. The next prime is 22234120057. The reversal of 22234120020 is 2002143222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22234119975 and 22234120002.

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, 34809 + ... + 213728.

It is an arithmetic number, because the mean of its divisors is an integer number (542806992).

Almost surely, 222234120020 is an apocalyptic number.

22234120020 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 22234120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39082103424).

22234120020 is an abundant number, since it is smaller than the sum of its proper divisors (55930086828).

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

22234120020 is a wasteful number, since it uses less digits than its factorization.

22234120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248630 (or 248625 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22234120020 its reverse (2002143222), we get a palindrome (24236263242).

The spelling of 22234120020 in words is "twenty-two billion, two hundred thirty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14910 17892 22365 29820 44730 89460 248537 497074 745611 994148 1242685 1491222 1739759 2236833 2485370 2982444 3479518 3728055 4473666 4970740 5219277 6959036 7456110 8698795 8947332 10438554 11184165 14912220 15657831 17397590 17646127 20877108 22368330 26096385 31315662 34795180 35292254 44736660 52192770 52938381 62631324 70584508 78289155 88230635 104385540 105876762 123522889 156578310 158815143 176461270 211753524 247045778 264691905 313156620 317630286 352922540 370568667 494091556 529383810 617614445 635260572 741137334 794075715 1058767620 1111706001 1235228890 1482274668 1588151430 1852843335 2223412002 2470457780 3176302860 3705686670 4446824004 5558530005 7411373340 11117060010 22234120020