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22750105240 = 23519891791879
BaseRepresentation
bin10101001100000000…
…110000111010011000
32011201111100002102101
4111030000300322120
5333043011331430
614241245413144
71433524463302
oct251400607230
964644302371
1022750105240
119714928875
1244aab6a1b4
1321b7385645
14115b63c972
158d23ebdca
hex54c030e98

22750105240 has 128 divisors (see below), whose sum is σ = 54820800000. Its totient is φ = 8472093696.

The previous prime is 22750105219. The next prime is 22750105289. The reversal of 22750105240 is 4250105722.

It is a junction number, because it is equal to n+sod(n) for n = 22750105199 and 22750105208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12106621 + ... + 12108499.

It is an arithmetic number, because the mean of its divisors is an integer number (428287500).

Almost surely, 222750105240 is an apocalyptic number.

22750105240 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 22750105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410400000).

22750105240 is an abundant number, since it is smaller than the sum of its proper divisors (32070694760).

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

22750105240 is a wasteful number, since it uses less digits than its factorization.

22750105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The spelling of 22750105240 in words is "twenty-two billion, seven hundred fifty million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 89 95 152 178 179 190 356 358 380 445 712 716 760 890 895 1432 1691 1780 1790 1879 3382 3401 3560 3580 3758 6764 6802 7160 7516 8455 9395 13528 13604 15032 15931 16910 17005 18790 27208 31862 33820 34010 35701 37580 63724 67640 68020 71402 75160 79655 127448 136040 142804 159310 167231 178505 285608 302689 318620 334462 336341 357010 605378 637240 668924 672682 714020 836155 1210756 1337848 1345364 1428040 1513445 1672310 1681705 2421512 2690728 3026890 3177389 3344620 3363410 6053780 6354778 6390479 6689240 6726820 12107560 12709556 12780958 13453640 15886945 25419112 25561916 29934349 31773890 31952395 51123832 59868698 63547780 63904790 119737396 127095560 127809580 149671745 239474792 255619160 299343490 568752631 598686980 1137505262 1197373960 2275010524 2843763155 4550021048 5687526310 11375052620 22750105240