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142174224 = 24332341349
BaseRepresentation
bin10000111100101…
…10100000010000
3100220112012101000
420132112200100
5242344033344
622035142000
73344314053
oct1036264020
9326465330
10142174224
1173287665
123b744900
13235bbb7a
1414c4ca9a
15c735a69
hex8796810

142174224 has 160 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 44098560.

The previous prime is 142174223. The next prime is 142174229. The reversal of 142174224 is 422471241.

It is a super-3 number, since 3×1421742243 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142174223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407202 + ... + 407550.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2142174224 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 142174224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

142174224 is an abundant number, since it is smaller than the sum of its proper divisors (295297776).

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

142174224 is a wasteful number, since it uses less digits than its factorization.

142174224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 142174224 is about 11923.6833235372. The cubic root of 142174224 is about 521.9236247091.

The spelling of 142174224 in words is "one hundred forty-two million, one hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 41 46 48 54 69 72 82 92 108 123 138 144 164 184 207 216 246 276 328 349 368 369 414 432 492 552 621 656 698 738 828 943 984 1047 1104 1107 1242 1396 1476 1656 1886 1968 2094 2214 2484 2792 2829 2952 3141 3312 3772 4188 4428 4968 5584 5658 5904 6282 7544 8027 8376 8487 8856 9423 9936 11316 12564 14309 15088 16054 16752 16974 17712 18846 22632 24081 25128 25461 28618 32108 33948 37692 42927 45264 48162 50256 50922 57236 64216 67896 72243 75384 85854 96324 101844 114472 128432 128781 135792 144486 150768 171708 192648 203688 216729 228944 257562 288972 329107 343416 385296 386343 407376 433458 515124 577944 658214 686832 772686 866916 987321 1030248 1155888 1316428 1545372 1733832 1974642 2060496 2632856 2961963 3090744 3467664 3949284 5265712 5923926 6181488 7898568 8885889 11847852 15797136 17771778 23695704 35543556 47391408 71087112 142174224