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202206420640 = 2557274165867
BaseRepresentation
bin1011110001010001110…
…0010001111010100000
3201022221010001110121101
42330110130101322200
511303104320430030
6232520425204144
720415602134150
oct2742434217240
9638833043541
10202206420640
1178834286734
1233232630654
13160b648b113
149b03150760
1553d700d7ca
hex2f14711ea0

202206420640 has 96 divisors (see below), whose sum is σ = 546164809344. Its totient is φ = 69301570560.

The previous prime is 202206420617. The next prime is 202206420649. The reversal of 202206420640 is 46024602202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 202206420599 and 202206420608.

It is not an unprimeable number, because it can be changed into a prime (202206420649) 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 15 ways as a sum of consecutive naturals, for example, 3036987 + ... + 3102853.

It is an arithmetic number, because the mean of its divisors is an integer number (5689216764).

Almost surely, 2202206420640 is an apocalyptic number.

202206420640 is a gapful number since it is divisible by the number (20) 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 202206420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273082404672).

202206420640 is an abundant number, since it is smaller than the sum of its proper divisors (343958388704).

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

202206420640 is a wasteful number, since it uses less digits than its factorization.

202206420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68630 (or 68622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 202206420640 in words is "two hundred two billion, two hundred six million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2741 5482 10964 13705 19187 21928 27410 38374 43856 54820 65867 76748 87712 95935 109640 131734 153496 191870 219280 263468 306992 329335 383740 438560 461069 526936 613984 658670 767480 922138 1053872 1317340 1534960 1844276 2107744 2305345 2634680 3069920 3688552 4610690 5269360 7377104 9221380 10538720 14754208 18442760 36885520 73771040 180541447 361082894 722165788 902707235 1263790129 1444331576 1805414470 2527580258 2888663152 3610828940 5055160516 5777326304 6318950645 7221657880 10110321032 12637901290 14443315760 20220642064 25275802580 28886631520 40441284128 50551605160 101103210320 202206420640