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468223756 = 2271113337347
BaseRepresentation
bin11011111010001…
…000011100001100
31012122001020020121
4123322020130030
51424331130011
6114243354324
714413556560
oct3372103414
91178036217
10468223756
11220333490
121109829a4
137600a7a0
14462836a0
152b18ce71
hex1be8870c

468223756 has 96 divisors (see below), whose sum is σ = 1106606592. Its totient is φ = 167408640.

The previous prime is 468223747. The next prime is 468223759. The reversal of 468223756 is 657322864.

It is not an unprimeable number, because it can be changed into a prime (468223759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349175 + ... + 1349521.

It is an arithmetic number, because the mean of its divisors is an integer number (11527152).

Almost surely, 2468223756 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 468223756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553303296).

468223756 is an abundant number, since it is smaller than the sum of its proper divisors (638382836).

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

468223756 is a wasteful number, since it uses less digits than its factorization.

468223756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 468223756 is about 21638.4785971657. The cubic root of 468223756 is about 776.5173220881.

The spelling of 468223756 in words is "four hundred sixty-eight million, two hundred twenty-three thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 337 347 364 572 674 694 1001 1348 1388 2002 2359 2429 3707 3817 4004 4381 4511 4718 4858 7414 7634 8762 9022 9436 9716 14828 15268 17524 18044 25949 26719 30667 31577 48191 49621 51898 53438 61334 63154 96382 99242 103796 106876 116939 122668 126308 192764 198484 233878 337337 347347 467756 674674 694694 818573 1286329 1349348 1389388 1520207 1637146 2572658 3040414 3274292 5145316 6080828 9004303 10641449 16722277 18008606 21282898 33444554 36017212 42565796 66889108 117055939 234111878 468223756