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206644152 = 2331113193169
BaseRepresentation
bin11000101000100…
…10001110111000
3112101211121111010
430110102032320
5410400103102
632301033520
75056306041
oct1424221670
9471747433
10206644152
11a67108a0
12592558a0
1333a72560
141d6318c8
151321cd6c
hexc5123b8

206644152 has 128 divisors (see below), whose sum is σ = 639072000. Its totient is φ = 54743040.

The previous prime is 206644127. The next prime is 206644153. The reversal of 206644152 is 251446602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206644153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63624 + ... + 66792.

It is an arithmetic number, because the mean of its divisors is an integer number (4992750).

Almost surely, 2206644152 is an apocalyptic number.

206644152 is a gapful number since it is divisible by the number (22) 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 206644152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319536000).

206644152 is an abundant number, since it is smaller than the sum of its proper divisors (432427848).

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

206644152 is a wasteful number, since it uses less digits than its factorization.

206644152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 206644152 is about 14375.1226777374. The cubic root of 206644152 is about 591.2090041556.

The spelling of 206644152 in words is "two hundred six million, six hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 19 22 24 26 33 38 39 44 52 57 66 76 78 88 104 114 132 143 152 156 209 228 247 264 286 312 418 429 456 494 572 627 741 836 858 988 1144 1254 1482 1672 1716 1976 2508 2717 2964 3169 3432 5016 5434 5928 6338 8151 9507 10868 12676 16302 19014 21736 25352 32604 34859 38028 41197 60211 65208 69718 76056 82394 104577 120422 123591 139436 164788 180633 209154 240844 247182 278872 329576 361266 418308 453167 481688 494364 662321 722532 782743 836616 906334 988728 1324642 1359501 1445064 1565486 1812668 1986963 2348229 2649284 2719002 3130972 3625336 3973926 4696458 5298568 5438004 6261944 7947852 8610173 9392916 10876008 15895704 17220346 18785832 25830519 34440692 51661038 68881384 103322076 206644152