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142552224 = 2534431279
BaseRepresentation
bin10000111111100…
…10110010100000
3100221020101220000
420133302302200
5242443132344
622051220000
73350450103
oct1037626240
9327211800
10142552224
1173515661
123b8a7600
13236c1c39
1414d0a73a
15c7aca69
hex87f2ca0

142552224 has 120 divisors (see below), whose sum is σ = 429327360. Its totient is φ = 46376064.

The previous prime is 142552211. The next prime is 142552237. The reversal of 142552224 is 422255241.

It is an interprime number because it is at equal distance from previous prime (142552211) and next prime (142552237).

It is a super-2 number, since 2×1425522242 = 40642273134692352, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110817 + ... + 112095.

It is an arithmetic number, because the mean of its divisors is an integer number (3577728).

Almost surely, 2142552224 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 142552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214663680).

142552224 is an abundant number, since it is smaller than the sum of its proper divisors (286775136).

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

142552224 is a wasteful number, since it uses less digits than its factorization.

142552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1327 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 142552224 is about 11939.5236085867. The cubic root of 142552224 is about 522.3857632021.

The spelling of 142552224 in words is "one hundred forty-two million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 648 688 774 864 1032 1161 1279 1296 1376 1548 2064 2322 2558 2592 3096 3483 3837 4128 4644 5116 6192 6966 7674 9288 10232 11511 12384 13932 15348 18576 20464 23022 27864 30696 34533 37152 40928 46044 54997 55728 61392 69066 92088 103599 109994 111456 122784 138132 164991 184176 207198 219988 276264 329982 368352 414396 439976 494973 552528 659964 828792 879952 989946 1105056 1319928 1484919 1657584 1759904 1979892 2639856 2969838 3315168 3959784 4454757 5279712 5939676 7919568 8909514 11879352 15839136 17819028 23758704 35638056 47517408 71276112 142552224