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223990201608 = 233431637571759
BaseRepresentation
bin1101000010011011011…
…0110011110100001000
3210102011021002012022220
43100212312303310020
512132212442422413
6250522155214040
722116454204515
oct3204666636410
9712137065286
10223990201608
1186aa26a17a8
12374b1a47320
1318178597644
14abac2ca30c
155c5e67c223
hex3426db3d08

223990201608 has 128 divisors (see below), whose sum is σ = 577603276800. Its totient is φ = 72342740736.

The previous prime is 223990201573. The next prime is 223990201619. The reversal of 223990201608 is 806102099322.

It is a super-2 number, since 2×2239902016082 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223990201608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127338633 + ... + 127340391.

It is an arithmetic number, because the mean of its divisors is an integer number (4512525600).

Almost surely, 2223990201608 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 223990201608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288801638400).

223990201608 is an abundant number, since it is smaller than the sum of its proper divisors (353613075192).

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

223990201608 is a wasteful number, since it uses less digits than its factorization.

223990201608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 223990201608 in words is "two hundred twenty-three billion, nine hundred ninety million, two hundred one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 163 172 258 326 344 489 516 652 757 978 1032 1304 1514 1759 1956 2271 3028 3518 3912 4542 5277 6056 7009 7036 9084 10554 14018 14072 18168 21027 21108 28036 32551 42054 42216 56072 65102 75637 84108 97653 123391 130204 151274 168216 195306 226911 246782 260408 286717 302548 370173 390612 453822 493564 573434 605096 740346 781224 860151 907644 987128 1146868 1331563 1480692 1720302 1815288 2293736 2663126 2961384 3440604 3994689 5305813 5326252 6881208 7989378 10611626 10652504 12328831 15917439 15978756 21223252 24657662 31834878 31957512 36986493 42446504 49315324 57257209 63669756 73972986 98630648 114514418 127339512 147945972 171771627 217044769 229028836 295891944 343543254 434089538 458057672 651134307 687086508 868179076 1302268614 1374173016 1736358152 2604537228 5209074456 9332925067 18665850134 27998775201 37331700268 55997550402 74663400536 111995100804 223990201608