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202400986920 = 233511241636241
BaseRepresentation
bin1011110010000000001…
…0011111011100101000
3201100102200011110100220
42330200002133130220
511304004123040140
6232552015330040
720423454000606
oct2744002373450
9640380143326
10202400986920
1178924098210
1233287820920
13161178920b2
149b20d1a876
1553e9142bd0
hex2f2009f728

202400986920 has 128 divisors (see below), whose sum is σ = 665152836480. Its totient is φ = 48863232000.

The previous prime is 202400986913. The next prime is 202400986927. The reversal of 202400986920 is 29689004202.

202400986920 is a nontrivial binomial coefficient, being equal to C(636241, 2).

It is an interprime number because it is at equal distance from previous prime (202400986913) and next prime (202400986927).

It is a super-2 number, since 2×2024009869202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202400986927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 636240.

It is an arithmetic number, because the mean of its divisors is an integer number (5196506535).

Almost surely, 2202400986920 is an apocalyptic number.

202400986920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202400986920 is the 636240-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202400986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332576418240).

202400986920 is an abundant number, since it is smaller than the sum of its proper divisors (462751849560).

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

202400986920 is a wasteful number, since it uses less digits than its factorization.

202400986920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636507 (or 636503 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 202400986920 in words is "two hundred two billion, four hundred million, nine hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4820 5302 5784 7230 7953 9640 10604 13255 14460 15906 21208 26510 28920 31812 39765 53020 63624 79530 106040 159060 318120 636241 1272482 1908723 2544964 3181205 3817446 5089928 6362410 6998651 7634892 9543615 12724820 13997302 15269784 19087230 20995953 25449640 27994604 34993255 38174460 41991906 55989208 69986510 76348920 83983812 104979765 139973020 153334081 167967624 209959530 279946040 306668162 419919060 460002243 613336324 766670405 839838120 920004486 1226672648 1533340810 1686674891 1840008972 2300011215 3066681620 3373349782 3680017944 4600022430 5060024673 6133363240 6746699564 8433374455 9200044860 10120049346 13493399128 16866748910 18400089720 20240098692 25300123365 33733497820 40480197384 50600246730 67466995640 101200493460 202400986920