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200119136 = 25722331179
BaseRepresentation
bin10111110110110…
…01001101100000
3111221120002211212
423323121031200
5402212303021
631505125252
74646661500
oct1373311540
9457502755
10200119136
11a2a64518
1257029828
13325c95b9
141c813a00
151287e85b
hexbed9360

200119136 has 144 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 78946560.

The previous prime is 200119133. The next prime is 200119141. The reversal of 200119136 is 631911002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200119133) 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, 1117895 + ... + 1118073.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2200119136 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 200119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

200119136 is an abundant number, since it is smaller than the sum of its proper divisors (296300704).

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

200119136 is a wasteful number, since it uses less digits than its factorization.

200119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 200119136 is about 14146.3470903269. The cubic root of 200119136 is about 584.9196431861.

The spelling of 200119136 in words is "two hundred million, one hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 92 98 112 124 161 179 184 196 217 224 248 322 358 368 392 434 496 644 713 716 736 784 868 992 1127 1253 1288 1426 1432 1519 1568 1736 2254 2506 2576 2852 2864 3038 3472 4117 4508 4991 5012 5152 5549 5704 5728 6076 6944 8234 8771 9016 9982 10024 11098 11408 12152 16468 17542 18032 19964 20048 22196 22816 24304 28819 32936 34937 35084 36064 38843 39928 40096 44392 48608 57638 65872 69874 70168 77686 79856 88784 115276 127627 131744 139748 140336 155372 159712 177568 201733 230552 255254 271901 279496 280672 310744 403466 461104 510508 543802 558992 621488 806932 893389 922208 1021016 1087604 1117984 1242976 1613864 1786778 2042032 2175208 3227728 3573556 4084064 4350416 6253723 6455456 7147112 8700832 12507446 14294224 25014892 28588448 50029784 100059568 200119136