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22414210123240 = 23513499643134341
BaseRepresentation
bin1010001100010101101110…
…00010000100010111101000
32221100202222211201210002101
411012022313002010113220
510414213300242420430
6115400540155343144
74502242010335465
oct506126702042750
987322884653071
1022414210123240
1171618a4306121
122620035751ab4
13c67860185290
14576bd424266c
1528d0a2048dca
hex1462b70845e8

22414210123240 has 128 divisors (see below), whose sum is σ = 54505236240000. Its totient is φ = 8246524308480.

The previous prime is 22414210123219. The next prime is 22414210123289. The reversal of 22414210123240 is 4232101241422.

It is a junction number, because it is equal to n+sod(n) for n = 22414210123199 and 22414210123208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166778470 + ... + 166912810.

It is an arithmetic number, because the mean of its divisors is an integer number (425822158125).

Almost surely, 222414210123240 is an apocalyptic number.

22414210123240 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 22414210123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252618120000).

22414210123240 is an abundant number, since it is smaller than the sum of its proper divisors (32091026116760).

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

22414210123240 is a wasteful number, since it uses less digits than its factorization.

22414210123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135507 (or 135503 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 22414210123240 its reverse (4232101241422), we get a palindrome (26646311364662).

The spelling of 22414210123240 in words is "twenty-two trillion, four hundred fourteen billion, two hundred ten million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 499 520 643 998 1286 1996 2495 2572 3215 3992 4990 5144 6430 6487 8359 9980 12860 12974 16718 19960 25720 25948 32435 33436 41795 51896 64870 66872 83590 129740 134341 167180 259480 268682 320857 334360 537364 641714 671705 1074728 1283428 1343410 1604285 1746433 2566856 2686820 3208570 3492866 4171141 5373640 6417140 6985732 8342282 8732165 12834280 13971464 16684564 17464330 20855705 33369128 34928660 41711410 67036159 69857320 83422820 86381263 134072318 166845640 172762526 268144636 335180795 345525052 431906315 536289272 670361590 691050104 863812630 871470067 1122956419 1340723180 1727625260 1742940134 2245912838 2681446360 3455250520 3485880268 4357350335 4491825676 5614782095 6971760536 8714700670 8983651352 11229564190 17429401340 22459128380 34858802680 43104250237 44918256760 86208500474 172417000948 215521251185 344834001896 431042502370 560355253081 862085004740 1120710506162 1724170009480 2241421012324 2801776265405 4482842024648 5603552530810 11207105061620 22414210123240