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88970200 = 235211371093
BaseRepresentation
bin1010100110110…
…01001111011000
320012102011011121
411103121033120
5140234021300
612454535024
72130143224
oct523311730
9205364147
1088970200
11462486a0
1225967474
13155812b7
14bb5d784
157c2681a
hex54d93d8

88970200 has 96 divisors (see below), whose sum is σ = 231971760. Its totient is φ = 31449600.

The previous prime is 88970183. The next prime is 88970209. The reversal of 88970200 is 207988.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88970209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80854 + ... + 81946.

Almost surely, 288970200 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 88970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115985880).

88970200 is an abundant number, since it is smaller than the sum of its proper divisors (143001560).

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

88970200 is a wasteful number, since it uses less digits than its factorization.

88970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 88970200 is about 9432.4016029853. The cubic root of 88970200 is about 446.4246727583.

It can be divided in two parts, 88 and 970200, that multiplied together give a square (85377600 = 92402).

The spelling of 88970200 in words is "eighty-eight million, nine hundred seventy thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 148 185 200 220 275 296 370 407 440 550 740 814 925 1093 1100 1480 1628 1850 2035 2186 2200 3256 3700 4070 4372 5465 7400 8140 8744 10175 10930 12023 16280 20350 21860 24046 27325 40441 40700 43720 48092 54650 60115 80882 81400 96184 109300 120230 161764 202205 218600 240460 300575 323528 404410 444851 480920 601150 808820 889702 1011025 1202300 1617640 1779404 2022050 2224255 2404600 3558808 4044100 4448510 8088200 8897020 11121275 17794040 22242550 44485100 88970200