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10223684240 = 2457114333833
BaseRepresentation
bin10011000010110000…
…10000101010010000
3222101111122222012212
421201120100222100
5131414230343430
64410253011252
7511231611410
oct114130205220
928344588185
1010223684240
114377004320
121b93a83b28
13c6c147b03
146cdb4c640
153ec844b95
hex261610a90

10223684240 has 160 divisors (see below), whose sum is σ = 29711598336. Its totient is φ = 3178414080.

The previous prime is 10223684227. The next prime is 10223684269. The reversal of 10223684240 is 4248632201.

It is a junction number, because it is equal to n+sod(n) for n = 10223684197 and 10223684206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2665364 + ... + 2669196.

Almost surely, 210223684240 is an apocalyptic number.

10223684240 is a gapful number since it is divisible by the number (10) 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 10223684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855799168).

10223684240 is an abundant number, since it is smaller than the sum of its proper divisors (19487914096).

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

10223684240 is a wasteful number, since it uses less digits than its factorization.

10223684240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 10223684240 in words is "ten billion, two hundred twenty-three million, six hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 433 440 560 616 770 866 880 1232 1540 1732 2165 3031 3080 3464 3833 4330 4763 6062 6160 6928 7666 8660 9526 12124 15155 15332 17320 19052 19165 23815 24248 26831 30310 30664 33341 34640 38104 38330 42163 47630 48496 53662 60620 61328 66682 76208 76660 84326 95260 107324 121240 133364 134155 153320 166705 168652 190520 210815 214648 242480 266728 268310 295141 306640 333410 337304 381040 421630 429296 533456 536620 590282 666820 674608 843260 1073240 1180564 1333640 1475705 1659689 1686520 2146480 2361128 2667280 2951410 3319378 3373040 4722256 5902820 6638756 8298445 11617823 11805640 13277512 16596890 18256579 23235646 23611280 26555024 33193780 36513158 46471292 58089115 66387560 73026316 91282895 92942584 116178230 127796053 132775120 146052632 182565790 185885168 232356460 255592106 292105264 365131580 464712920 511184212 638980265 730263160 929425840 1022368424 1277960530 1460526320 2044736848 2555921060 5111842120 10223684240