Search a number
-
+
223927437468 = 223717254961519
BaseRepresentation
bin1101000010001100011…
…1011000100010011100
3210101222212222110010010
43100203013120202130
512132100410444333
6250512034043220
722115062545630
oct3204307304234
9711885873103
10223927437468
1186a70223109
1237494a19510
13181685904b7
14aba3c2cdc0
155c58dd0563
hex34231d889c

223927437468 has 96 divisors (see below), whose sum is σ = 632524032000. Its totient is φ = 60191179776.

The previous prime is 223927437431. The next prime is 223927437521. The reversal of 223927437468 is 864734729322.

It is a congruent number.

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, 3609213 + ... + 3670731.

It is an arithmetic number, because the mean of its divisors is an integer number (6588792000).

Almost surely, 2223927437468 is an apocalyptic number.

223927437468 is a gapful number since it is divisible by the number (28) 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 223927437468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316262016000).

223927437468 is an abundant number, since it is smaller than the sum of its proper divisors (408596594532).

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

223927437468 is a wasteful number, since it uses less digits than its factorization.

223927437468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64099 (or 64097 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 223927437468 in words is "two hundred twenty-three billion, nine hundred twenty-seven million, four hundred thirty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2549 5098 7647 10196 15294 17843 30588 35686 43333 53529 61519 71372 86666 107058 123038 129999 173332 184557 214116 246076 259998 303331 369114 430633 519996 606662 738228 861266 909993 1045823 1213324 1291899 1722532 1819986 2091646 2583798 3137469 3639972 4183292 5167596 6274938 7320761 12549876 14641522 21962283 29283044 43924566 87849132 156811931 313623862 470435793 627247724 940871586 1097683517 1881743172 2195367034 2665802827 3293050551 4390734068 5331605654 6586101102 7997408481 10663211308 13172202204 15994816962 18660619789 31989633924 37321239578 55981859367 74642479156 111963718734 223927437468