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2069516900 = 2252114343753
BaseRepresentation
bin111101101011010…
…0101001001100100
312100020011100111002
41323112211021210
513214244020100
6541204532432
7102166413653
oct17326451144
95306140432
102069516900
11972208750
124990b1118
1326c9a7019
14158bd319a
15c1a452d5
hex7b5a5264

2069516900 has 72 divisors (see below), whose sum is σ = 5013158304. Its totient is φ = 735033600.

The previous prime is 2069516899. The next prime is 2069516903. The reversal of 2069516900 is 96159602.

It is a super-2 number, since 2×20695169002 = 8565800398771220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2069516903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25424 + ... + 69176.

Almost surely, 22069516900 is an apocalyptic number.

2069516900 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 2069516900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506579152).

2069516900 is an abundant number, since it is smaller than the sum of its proper divisors (2943641404).

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

2069516900 is a wasteful number, since it uses less digits than its factorization.

2069516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43821 (or 43814 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 2069516900 is about 45491.9432427326. The cubic root of 2069516900 is about 1274.3527459355.

The spelling of 2069516900 in words is "two billion, sixty-nine million, five hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 43753 47300 87506 175012 218765 437530 481283 875060 962566 1093825 1881379 1925132 2187650 2406415 3762758 4375300 4812830 7525516 9406895 9625660 12032075 18813790 20695169 24064150 37627580 41390338 47034475 48128300 82780676 94068950 103475845 188137900 206951690 413903380 517379225 1034758450 2069516900