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152210250 = 23253611109
BaseRepresentation
bin10010001001010…
…00101101001010
3101121102002012200
421010220231022
5302431212000
623034221030
73525523443
oct1104505512
9347362180
10152210250
1178a118a5
1242b84776
13256c3c4a
14163022ca
15d569500
hex9128b4a

152210250 has 96 divisors (see below), whose sum is σ = 418700880. Its totient is φ = 39888000.

The previous prime is 152210221. The next prime is 152210269. The reversal of 152210250 is 52012251.

It can be written as a sum of positive squares in 8 ways, for example, as 28933641 + 123276609 = 5379^2 + 11103^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 136696 + ... + 137804.

Almost surely, 2152210250 is an apocalyptic number.

152210250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152210250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209350440).

152210250 is an abundant number, since it is smaller than the sum of its proper divisors (266490630).

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

152210250 is a wasteful number, since it uses less digits than its factorization.

152210250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152210250 is about 12337.3518228184. The cubic root of 152210250 is about 533.9262828005.

The spelling of 152210250 in words is "one hundred fifty-two million, two hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 125 150 183 225 250 305 366 375 450 549 610 750 915 1098 1109 1125 1525 1830 2218 2250 2745 3050 3327 4575 5490 5545 6654 7625 9150 9981 11090 13725 15250 16635 19962 22875 27450 27725 33270 45750 49905 55450 67649 68625 83175 99810 135298 137250 138625 166350 202947 249525 277250 338245 405894 415875 499050 608841 676490 831750 1014735 1217682 1247625 1691225 2029470 2495250 3044205 3382450 5073675 6088410 8456125 10147350 15221025 16912250 25368375 30442050 50736750 76105125 152210250