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223216289640 = 23325883702203
BaseRepresentation
bin1100111111100010111…
…0100100011101101000
3210100011022211101200200
43033320232210131220
512124121332232030
6250313311432200
722061336104431
oct3177056443550
9710138741620
10223216289640
118673585a233
1237316825660
1318084149c76
14ab375d2488
155c16759d60
hex33f8ba4768

223216289640 has 96 divisors (see below), whose sum is σ = 726275553120. Its totient is φ = 59456847744.

The previous prime is 223216289623. The next prime is 223216289651. The reversal of 223216289640 is 46982612322.

223216289640 is a `hidden beast` number, since 2 + 2 + 321 + 6 + 289 + 6 + 40 = 666.

It is a super-3 number, since 3×2232162896403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33222 + ... + 668981.

It is an arithmetic number, because the mean of its divisors is an integer number (7565370345).

Almost surely, 2223216289640 is an apocalyptic number.

223216289640 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 223216289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363137776560).

223216289640 is an abundant number, since it is smaller than the sum of its proper divisors (503059263480).

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

223216289640 is a wasteful number, since it uses less digits than its factorization.

223216289640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703103 (or 703096 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 223216289640 in words is "two hundred twenty-three billion, two hundred sixteen million, two hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 883 1766 2649 3532 4415 5298 7064 7947 8830 10596 13245 15894 17660 21192 26490 31788 35320 39735 52980 63576 79470 105960 158940 317880 702203 1404406 2106609 2808812 3511015 4213218 5617624 6319827 7022030 8426436 10533045 12639654 14044060 16852872 21066090 25279308 28088120 31599135 42132180 50558616 63198270 84264360 126396540 252793080 620045249 1240090498 1860135747 2480180996 3100226245 3720271494 4960361992 5580407241 6200452490 7440542988 9300678735 11160814482 12400904980 14881085976 18601357470 22321628964 24801809960 27902036205 37202714940 44643257928 55804072410 74405429880 111608144820 223216289640