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210242112 = 2632961619
BaseRepresentation
bin11001000100000…
…00101001000000
3112122121101221220
430202000221000
5412310221422
632510115040
75132012523
oct1442005100
9478541856
10210242112
11a8749013
125a4aba80
1334732122
141dccabba
15136cde5c
hexc880a40

210242112 has 112 divisors (see below), whose sum is σ = 585825600. Its totient is φ = 66447360.

The previous prime is 210242089. The next prime is 210242159. The reversal of 210242112 is 211242012.

It is a junction number, because it is equal to n+sod(n) for n = 210242091 and 210242100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339339 + ... + 339957.

Almost surely, 2210242112 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 210242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292912800).

210242112 is an abundant number, since it is smaller than the sum of its proper divisors (375583488).

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

210242112 is a wasteful number, since it uses less digits than its factorization.

210242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 210242112 is about 14499.7279974488. The cubic root of 210242112 is about 594.6205352977.

Adding to 210242112 its reverse (211242012), we get a palindrome (421484124).

The spelling of 210242112 in words is "two hundred ten million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 174 183 192 232 244 348 366 464 488 619 696 732 928 976 1238 1392 1464 1769 1856 1857 1952 2476 2784 2928 3538 3714 3904 4952 5307 5568 5856 7076 7428 9904 10614 11712 14152 14856 17951 19808 21228 28304 29712 35902 37759 39616 42456 53853 56608 59424 71804 75518 84912 107706 113216 113277 118848 143608 151036 169824 215412 226554 287216 302072 339648 430824 453108 574432 604144 861648 906216 1095011 1148864 1208288 1723296 1812432 2190022 2416576 3285033 3446592 3624864 4380044 6570066 7249728 8760088 13140132 17520176 26280264 35040352 52560528 70080704 105121056 210242112