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64233140 = 22517211113
BaseRepresentation
bin1111010100000…
…1111010110100
311110212101022012
43311001322310
5112420430030
610212423352
71406654426
oct365017264
9143771265
1064233140
1133292344
1219617b58
13103cc99a
148760816
15598c095
hex3d41eb4

64233140 has 36 divisors (see below), whose sum is σ = 143303916. Its totient is φ = 24179712.

The previous prime is 64233137. The next prime is 64233149. The reversal of 64233140 is 4133246.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1157776 + 63075364 = 1076^2 + 7942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64233149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224 + ... + 11336.

Almost surely, 264233140 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 64233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71651958).

64233140 is an abundant number, since it is smaller than the sum of its proper divisors (79070776).

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

64233140 is a wasteful number, since it uses less digits than its factorization.

64233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 64233140 is about 8014.5580040324. The cubic root of 64233140 is about 400.4851197426.

Adding to 64233140 its reverse (4133246), we get a palindrome (68366386).

The spelling of 64233140 in words is "sixty-four million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 11113 22226 44452 55565 111130 188921 222260 377842 755684 944605 1889210 3211657 3778420 6423314 12846628 16058285 32116570 64233140