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200697856 = 21143253
BaseRepresentation
bin10111111011001…
…10100000000000
3111222122111200221
423331212200000
5402334312411
631525352424
74654621642
oct1375464000
9458574627
10200697856
11a331a2a7
1257268714
133276cb38
141c924892
1512946071
hexbf66800

200697856 has 72 divisors (see below), whose sum is σ = 418599090. Its totient is φ = 96165888.

The previous prime is 200697853. The next prime is 200697863. The reversal of 200697856 is 658796002.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 47334400 = 12384^2 + 6880^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (200697853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3786726 + ... + 3786778.

Almost surely, 2200697856 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 200697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209299545).

200697856 is an abundant number, since it is smaller than the sum of its proper divisors (217901234).

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

200697856 is an frugal number, since it uses more digits than its factorization.

200697856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 200697856 is about 14166.7870739981. The cubic root of 200697856 is about 585.4829391660.

The spelling of 200697856 in words is "two hundred million, six hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 1849 2048 2279 2752 3392 3698 4558 5504 6784 7396 9116 11008 13568 14792 18232 22016 27136 29584 36464 44032 54272 59168 72928 88064 97997 108544 118336 145856 195994 236672 291712 391988 473344 583424 783976 946688 1166848 1567952 1893376 2333696 3135904 3786752 4667392 6271808 12543616 25087232 50174464 100348928 200697856