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2205920512 = 28103269311
BaseRepresentation
bin1000001101111011…
…1010110100000000
312200201211101001201
42003132322310000
514004203424022
61002520310544
7105444005065
oct20336726400
95621741051
102205920512
11a32203804
12516912454
13292025413
1416cd7cc6c
15cd9db127
hex837bad00

2205920512 has 72 divisors (see below), whose sum is σ = 4476850560. Its totient is φ = 1084692480.

The previous prime is 2205920503. The next prime is 2205920533. The reversal of 2205920512 is 2150295022.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7092837 + ... + 7093147.

It is an arithmetic number, because the mean of its divisors is an integer number (62178480).

Almost surely, 22205920512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238425280).

2205920512 is an abundant number, since it is smaller than the sum of its proper divisors (2270930048).

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

2205920512 is a wasteful number, since it uses less digits than its factorization.

2205920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2205920512 is about 46967.2280638319. The cubic root of 2205920512 is about 1301.7570938457.

The spelling of 2205920512 in words is "two billion, two hundred five million, nine hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 269 311 412 538 622 824 1076 1244 1648 2152 2488 3296 4304 4976 6592 8608 9952 13184 17216 19904 26368 27707 32033 34432 39808 55414 64066 68864 79616 83659 110828 128132 167318 221656 256264 334636 443312 512528 669272 886624 1025056 1338544 1773248 2050112 2677088 3546496 4100224 5354176 7092992 8200448 8616877 10708352 17233754 21416704 34467508 68935016 137870032 275740064 551480128 1102960256 2205920512