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22703740072 = 23131931973821
BaseRepresentation
bin10101001001001111…
…111001010010101000
32011121021002111100221
4111021033321102220
5332444124140242
614232511535424
71432422415006
oct251117712250
964537074327
1022703740072
1196a073aa52
12449752a574
1321aa8a0830
14115540da76
158cd2de167
hex5493f94a8

22703740072 has 128 divisors (see below), whose sum is σ = 50340326400. Its totient is φ = 9505382400.

The previous prime is 22703740069. The next prime is 22703740093. The reversal of 22703740072 is 27004730722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5939922 + ... + 5943742.

It is an arithmetic number, because the mean of its divisors is an integer number (393283800).

Almost surely, 222703740072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22703740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25170163200).

22703740072 is an abundant number, since it is smaller than the sum of its proper divisors (27636586328).

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

22703740072 is a wasteful number, since it uses less digits than its factorization.

22703740072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 34.

The spelling of 22703740072 in words is "twenty-two billion, seven hundred three million, seven hundred forty thousand, seventy-two".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 97 104 124 152 194 247 248 388 403 494 589 776 806 988 1178 1261 1612 1843 1976 2356 2522 3007 3224 3686 3821 4712 5044 6014 7372 7642 7657 10088 12028 14744 15284 15314 23959 24056 30568 30628 39091 47918 49673 57133 61256 72599 78182 95836 99346 114266 118451 145198 156364 191672 198692 228532 236902 290396 312728 370637 397384 457064 473804 580792 741274 742729 943787 947608 1482548 1485458 1539863 1887574 2250569 2965096 2970916 3079726 3775148 4501138 4818281 5941832 6159452 7042103 7550296 9002276 9636562 11489747 12318904 14084206 18004552 19273124 22979494 28168412 29257397 38546248 45958988 56336824 58514794 91547339 91917976 117029588 149366711 183094678 218305193 234059176 298733422 366189356 436610386 597466844 732378712 873220772 1194933688 1746441544 2837967509 5675935018 11351870036 22703740072