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223864640 = 2653122567
BaseRepresentation
bin11010101011111…
…10011101000000
3120121020111112222
431111332131000
5424302132030
634114110212
75355550406
oct1525763500
9517214488
10223864640
111054028aa
1262b7b368
13374c17ac
1421a35476
15149c03e5
hexd57e740

223864640 has 56 divisors (see below), whose sum is σ = 550298112. Its totient is φ = 86653440.

The previous prime is 223864607. The next prime is 223864657. The reversal of 223864640 is 46468322.

It is a self number, because there is not a number n which added to its sum of digits gives 223864640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364 + ... + 21203.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 2223864640 is an apocalyptic number.

223864640 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 223864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275149056).

223864640 is an abundant number, since it is smaller than the sum of its proper divisors (326433472).

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

223864640 is a wasteful number, since it uses less digits than its factorization.

223864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615 (or 22605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 223864640 is about 14962.1068035220. The cubic root of 223864640 is about 607.1954385701.

The spelling of 223864640 in words is "two hundred twenty-three million, eight hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 22567 45134 90268 112835 180536 225670 361072 451340 699577 722144 902680 1399154 1444288 1805360 2798308 3497885 3610720 5596616 6995770 7221440 11193232 13991540 22386464 27983080 44772928 55966160 111932320 223864640