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200120424 = 23372367773
BaseRepresentation
bin10111110110110…
…01100001101000
3111221120011121120
423323121201220
5402212323144
631505135240
74646665320
oct1373314150
9457504546
10200120424
11a2a65489
125702a520
13325ca06a
141c814280
151287ee19
hexbed9868

200120424 has 128 divisors (see below), whose sum is σ = 606320640. Its totient is φ = 53805312.

The previous prime is 200120419. The next prime is 200120429. The reversal of 200120424 is 424021002.

It is an interprime number because it is at equal distance from previous prime (200120419) and next prime (200120429).

It is not an unprimeable number, because it can be changed into a prime (200120429) 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, 258502 + ... + 259274.

It is an arithmetic number, because the mean of its divisors is an integer number (4736880).

Almost surely, 2200120424 is an apocalyptic number.

200120424 is a gapful number since it is divisible by the number (24) 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 200120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303160320).

200120424 is an abundant number, since it is smaller than the sum of its proper divisors (406200216).

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

200120424 is a wasteful number, since it uses less digits than its factorization.

200120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 200120424 is about 14146.3926143735. The cubic root of 200120424 is about 584.9208980634.

Adding to 200120424 its reverse (424021002), we get a palindrome (624141426).

The spelling of 200120424 in words is "two hundred million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 67 69 84 92 134 138 161 168 184 201 268 276 322 402 469 483 536 552 644 773 804 938 966 1288 1407 1541 1546 1608 1876 1932 2319 2814 3082 3092 3752 3864 4623 4638 5411 5628 6164 6184 9246 9276 10787 10822 11256 12328 16233 17779 18492 18552 21574 21644 32361 32466 35558 36984 43148 43288 51791 53337 64722 64932 71116 86296 103582 106674 124453 129444 129864 142232 155373 207164 213348 248906 258888 310746 362537 373359 414328 426696 497812 621492 725074 746718 995624 1087611 1191193 1242984 1450148 1493436 2175222 2382386 2900296 2986872 3573579 4350444 4764772 7147158 8338351 8700888 9529544 14294316 16676702 25015053 28588632 33353404 50030106 66706808 100060212 200120424