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2150656600 = 235222348221
BaseRepresentation
bin1000000000110000…
…0110101001011000
312112212211200020011
42000030012221120
513401032002400
6553224011304
7104203164601
oct20014065130
95485750204
102150656600
11a03a98154
12500300b34
13283746091
141658b4da8
15c8c218ba
hex80306a58

2150656600 has 48 divisors (see below), whose sum is σ = 5022803520. Its totient is φ = 856387200.

The previous prime is 2150656591. The next prime is 2150656601. The reversal of 2150656600 is 66560512.

2150656600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21506566002 = 9250647622247120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150656601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20490 + ... + 68710.

It is an arithmetic number, because the mean of its divisors is an integer number (104641740).

Almost surely, 22150656600 is an apocalyptic number.

2150656600 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 2150656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511401760).

2150656600 is an abundant number, since it is smaller than the sum of its proper divisors (2872146920).

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

2150656600 is a wasteful number, since it uses less digits than its factorization.

2150656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48460 (or 48451 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2150656600 is about 46375.1722368769. The cubic root of 2150656600 is about 1290.7942547815.

The spelling of 2150656600 in words is "two billion, one hundred fifty million, six hundred fifty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 5575 8920 11150 22300 44600 48221 96442 192884 241105 385768 482210 964420 1205525 1928840 2411050 4822100 9644200 10753283 21506566 43013132 53766415 86026264 107532830 215065660 268832075 430131320 537664150 1075328300 2150656600