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201449472 = 213371171
BaseRepresentation
bin11000000000111…
…10000000000000
3112001001200201120
430000132000000
5403032340342
631553432240
74664202150
oct1400360000
9461050646
10201449472
11a3792a74
125756b680
1332973c93
141ca7c760
1512a43aec
hexc01e000

201449472 has 112 divisors (see below), whose sum is σ = 614428032. Its totient is φ = 57507840.

The previous prime is 201449471. The next prime is 201449477. The reversal of 201449472 is 274944102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201449471) 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, 171447 + ... + 172617.

Almost surely, 2201449472 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 201449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307214016).

201449472 is an abundant number, since it is smaller than the sum of its proper divisors (412978560).

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

201449472 is an equidigital number, since it uses as much as digits as its factorization.

201449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 201449472 is about 14193.2896820998. The cubic root of 201449472 is about 586.2129090028.

The spelling of 201449472 in words is "two hundred one million, four hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1171 1344 1536 1792 2048 2342 2688 3072 3513 3584 4096 4684 5376 6144 7026 7168 8192 8197 9368 10752 12288 14052 14336 16394 18736 21504 24576 24591 28104 28672 32788 37472 43008 49182 56208 57344 65576 74944 86016 98364 112416 131152 149888 172032 196728 224832 262304 299776 393456 449664 524608 599552 786912 899328 1049216 1199104 1573824 1798656 2098432 2398208 3147648 3597312 4196864 4796416 6295296 7194624 8393728 9592832 12590592 14389248 16787456 25181184 28778496 33574912 50362368 67149824 100724736 201449472