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4202200140 = 22351512931583
BaseRepresentation
bin1111101001111000…
…0111110001001100
3101211212011212220020
43322132013301030
532101230401030
61532551422140
7206064053235
oct37236076114
911755155806
104202200140
11186703a186
12993384950
1351c799278
142bc14a08c
15198db6510
hexfa787c4c

4202200140 has 96 divisors (see below), whose sum is σ = 11892013056. Its totient is φ = 1108665600.

The previous prime is 4202200127. The next prime is 4202200157. The reversal of 4202200140 is 410022024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653789 + ... + 2655371.

It is an arithmetic number, because the mean of its divisors is an integer number (123875136).

Almost surely, 24202200140 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 4202200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946006528).

4202200140 is an abundant number, since it is smaller than the sum of its proper divisors (7689812916).

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

4202200140 is a wasteful number, since it uses less digits than its factorization.

4202200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2037 counting only the distinct ones).

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

The square root of 4202200140 is about 64824.3792102940. The cubic root of 4202200140 is about 1613.7103245358.

Adding to 4202200140 its reverse (410022024), we get a palindrome (4612222164).

The spelling of 4202200140 in words is "four billion, two hundred two million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 293 302 453 586 604 755 879 906 1172 1465 1510 1583 1758 1812 2265 2930 3020 3166 3516 4395 4530 4749 5860 6332 7915 8790 9060 9498 15830 17580 18996 23745 31660 44243 47490 88486 94980 132729 176972 221215 239033 265458 442430 463819 478066 530916 663645 717099 884860 927638 956132 1195165 1327290 1391457 1434198 1855276 2319095 2390330 2654580 2782914 2868396 3585495 4638190 4780660 5565828 6957285 7170990 9276380 13914570 14341980 27829140 70036669 140073338 210110007 280146676 350183345 420220014 700366690 840440028 1050550035 1400733380 2101100070 4202200140