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152330200 = 235211174073
BaseRepresentation
bin10010001010001…
…01111111011000
3101121122011202021
421011011333120
5302444031300
623040544224
73526533241
oct1105057730
9347564667
10152330200
1178a93a30
1243022074
1325736719
1416333cc8
15d58ed1a
hex9145fd8

152330200 has 96 divisors (see below), whose sum is σ = 409192560. Its totient is φ = 52121600.

The previous prime is 152330197. The next prime is 152330203. The reversal of 152330200 is 2033251.

152330200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152330197) and next prime (152330203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152330203) 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, 35364 + ... + 39436.

Almost surely, 2152330200 is an apocalyptic number.

152330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204596280).

152330200 is an abundant number, since it is smaller than the sum of its proper divisors (256862360).

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

152330200 is a wasteful number, since it uses less digits than its factorization.

152330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 152330200 is about 12342.2121193893. The cubic root of 152330200 is about 534.0665003427.

Adding to 152330200 its reverse (2033251), we get a palindrome (154363451).

The spelling of 152330200 in words is "one hundred fifty-two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4073 4675 7480 8146 9350 16292 18700 20365 32584 37400 40730 44803 69241 81460 89606 101825 138482 162920 179212 203650 224015 276964 346205 358424 407300 448030 553928 692410 761651 814600 896060 1120075 1384820 1523302 1731025 1792120 2240150 2769640 3046604 3462050 3808255 4480300 6093208 6924100 7616510 8960600 13848200 15233020 19041275 30466040 38082550 76165100 152330200