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152265150 = 2335243261
BaseRepresentation
bin10010001001101…
…10000110111110
3101121111212112000
421010312012332
5302434441100
623035323130
73526142502
oct1104660676
9347455460
10152265150
1178a4a074
1242bb04a6
1325712c2b
1416318302
15d57a900
hex91361be

152265150 has 144 divisors (see below), whose sum is σ = 436601520. Its totient is φ = 39009600.

The previous prime is 152265119. The next prime is 152265199. The reversal of 152265150 is 51562251.

152265150 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 651 + 5 + 0 = 666.

152265150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2496120 + ... + 2496180.

It is an arithmetic number, because the mean of its divisors is an integer number (3031955).

Almost surely, 2152265150 is an apocalyptic number.

152265150 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 152265150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218300760).

152265150 is an abundant number, since it is smaller than the sum of its proper divisors (284336370).

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

152265150 is a wasteful number, since it uses less digits than its factorization.

152265150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 152265150 is about 12339.5765729623. The cubic root of 152265150 is about 533.9904682051.

The spelling of 152265150 in words is "one hundred fifty-two million, two hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 61 75 86 90 122 129 135 150 183 215 225 258 270 305 366 387 430 450 549 610 645 675 774 915 1075 1098 1161 1290 1350 1525 1647 1830 1849 1935 2150 2322 2623 2745 3050 3225 3294 3698 3870 4575 5246 5490 5547 5805 6450 7869 8235 9150 9245 9675 11094 11610 13115 13725 15738 16470 16641 18490 19350 23607 26230 27450 27735 29025 33282 39345 41175 46225 47214 49923 55470 58050 65575 70821 78690 82350 83205 92450 99846 112789 118035 131150 138675 141642 166410 196725 225578 236070 249615 277350 338367 354105 393450 416025 499230 563945 590175 676734 708210 832050 1015101 1127890 1180350 1248075 1691835 1770525 2030202 2496150 2819725 3045303 3383670 3541050 5075505 5639450 6090606 8459175 10151010 15226515 16918350 25377525 30453030 50755050 76132575 152265150