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2002195020 = 2235711342187
BaseRepresentation
bin111011101010111…
…0001001001001100
312011112111001020010
41313111301021030
513100030220040
6530401553220
7100421243160
oct16725611114
95145431203
102002195020
11938206831
1247a645810
1325ba654a7
1414dcaaca0
15bab97e80
hex7757124c

2002195020 has 96 divisors (see below), whose sum is σ = 6463876608. Its totient is φ = 453583872.

The previous prime is 2002194989. The next prime is 2002195049. The reversal of 2002195020 is 205912002.

It is a super-2 number, since 2×20021950202 = 8017569796225600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 26367 + ... + 68553.

It is an arithmetic number, because the mean of its divisors is an integer number (67332048).

Almost surely, 22002195020 is an apocalyptic number.

2002195020 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 2002195020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231938304).

2002195020 is an abundant number, since it is smaller than the sum of its proper divisors (4461681588).

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

2002195020 is a wasteful number, since it uses less digits than its factorization.

2002195020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42319 (or 42317 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2002195020 is about 44745.8938898308. The cubic root of 2002195020 is about 1260.3818066914.

The spelling of 2002195020 in words is "two billion, two million, one hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 42187 47460 84374 126561 168748 210935 253122 295309 421870 506244 590618 632805 843740 885927 1181236 1265610 1476545 1771854 2531220 2953090 3543708 4429635 4767131 5906180 8859270 9534262 14301393 17718540 19068524 23835655 28602786 33369917 47671310 57205572 66739834 71506965 95342620 100109751 133479668 143013930 166849585 200219502 286027860 333699170 400439004 500548755 667398340 1001097510 2002195020