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202081050 = 232523753229
BaseRepresentation
bin11000000101110…
…00001100011010
3112002020210002100
430002320030122
5403213043200
632015144230
75002442403
oct1402701432
9462223070
10202081050
11a4084536
1257815076
1332b355b2
141cba49aa
1512b1ad00
hexc0b831a

202081050 has 144 divisors (see below), whose sum is σ = 570599640. Its totient is φ = 51217920.

The previous prime is 202081049. The next prime is 202081051. The reversal of 202081050 is 50180202.

It is an interprime number because it is at equal distance from previous prime (202081049) and next prime (202081051).

It can be written as a sum of positive squares in 12 ways, for example, as 114639849 + 87441201 = 10707^2 + 9351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202081051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882336 + ... + 882564.

Almost surely, 2202081050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202081050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285299820).

202081050 is an abundant number, since it is smaller than the sum of its proper divisors (368518590).

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

202081050 is a wasteful number, since it uses less digits than its factorization.

202081050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 202081050 is about 14215.5214466442. The cubic root of 202081050 is about 586.8248952655.

The spelling of 202081050 in words is "two hundred two million, eighty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 53 74 75 90 106 111 150 159 185 222 225 229 265 318 333 370 450 458 477 530 555 666 687 795 925 954 1110 1145 1325 1374 1590 1665 1850 1961 2061 2290 2385 2650 2775 3330 3435 3922 3975 4122 4770 5550 5725 5883 6870 7950 8325 8473 9805 10305 11450 11766 11925 12137 16650 16946 17175 17649 19610 20610 23850 24274 25419 29415 34350 35298 36411 42365 49025 50838 51525 58830 60685 72822 76257 84730 88245 98050 103050 109233 121370 127095 147075 152514 176490 182055 211825 218466 254190 294150 303425 364110 381285 423650 441225 449069 546165 606850 635475 762570 882450 898138 910275 1092330 1270950 1347207 1820550 1906425 2245345 2694414 2730825 3812850 4041621 4490690 5461650 6736035 8083242 11226725 13472070 20208105 22453450 33680175 40416210 67360350 101040525 202081050