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214231552 = 2917151163
BaseRepresentation
bin11001100010011…
…10101000000000
3112221010002102221
430301032220000
5414320402202
633131420424
75210636533
oct1461165000
9487102387
10214231552
11aaa23377
125b8b4714
13354cac42
1420648a1a
1513c1b037
hexcc4ea00

214231552 has 80 divisors (see below), whose sum is σ = 459024192. Its totient is φ = 99532800.

The previous prime is 214231531. The next prime is 214231559. The reversal of 214231552 is 255132412.

It is not an unprimeable number, because it can be changed into a prime (214231559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314223 + ... + 1314385.

Almost surely, 2214231552 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 214231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229512096).

214231552 is an abundant number, since it is smaller than the sum of its proper divisors (244792640).

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

214231552 is a wasteful number, since it uses less digits than its factorization.

214231552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 214231552 is about 14636.6509830630. The cubic root of 214231552 is about 598.3580589629.

Adding to 214231552 its reverse (255132412), we get a palindrome (469363964).

The spelling of 214231552 in words is "two hundred fourteen million, two hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 163 256 272 302 326 512 544 604 652 1088 1208 1304 2176 2416 2567 2608 2771 4352 4832 5134 5216 5542 8704 9664 10268 10432 11084 19328 20536 20864 22168 24613 38656 41072 41728 44336 49226 77312 82144 83456 88672 98452 164288 177344 196904 328576 354688 393808 418421 657152 709376 787616 836842 1314304 1418752 1575232 1673684 3150464 3347368 6300928 6694736 12601856 13389472 26778944 53557888 107115776 214231552