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400142232 = 233272293911
BaseRepresentation
bin10111110110011…
…010111110011000
31000212221022221200
4113312122332120
51304414022412
6103412234200
712626103300
oct2766327630
91025838850
10400142232
11195962866
12b200b960
1364b91269
143b200600
15251e09dc
hex17d9af98

400142232 has 144 divisors (see below), whose sum is σ = 1304456400. Its totient is φ = 110355840.

The previous prime is 400142227. The next prime is 400142233. The reversal of 400142232 is 232241004.

It is a super-2 number, since 2×4001422322 = 320227611659883648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400142233) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100357 + ... + 104267.

It is an arithmetic number, because the mean of its divisors is an integer number (9058725).

Almost surely, 2400142232 is an apocalyptic number.

400142232 is a gapful number since it is divisible by the number (42) 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 400142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652228200).

400142232 is an abundant number, since it is smaller than the sum of its proper divisors (904314168).

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

400142232 is a wasteful number, since it uses less digits than its factorization.

400142232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400142232 is about 20003.5554839633. Note that the first 3 decimals coincide. The cubic root of 400142232 is about 736.8936205737.

Adding to 400142232 its reverse (232241004), we get a palindrome (632383236).

The spelling of 400142232 in words is "four hundred million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 3911 4263 4872 5684 7308 7822 8526 11368 11733 12789 14616 15644 17052 23466 25578 27377 31288 34104 35199 46932 51156 54754 70398 82131 93864 102312 109508 113419 140796 164262 191639 219016 226838 246393 281592 328524 340257 383278 453676 492786 574917 657048 680514 766556 793933 907352 985572 1020771 1149834 1361028 1533112 1587866 1724751 1971144 2041542 2299668 2381799 2722056 3175732 3449502 4083084 4599336 4763598 5557531 6351464 6899004 7145397 8166168 9527196 11115062 13798008 14290794 16672593 19054392 22230124 28581588 33345186 44460248 50017779 57163176 66690372 100035558 133380744 200071116 400142232