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2692053225 = 345211532
BaseRepresentation
bin1010000001110101…
…0111100011101001
320221121120110210000
42200131113203221
521003131200400
61123044013213
7123466034451
oct24035274351
96847513700
102692053225
111161659484
12631691209
1333b963604
141b7764d61
1510b515600
hexa07578e9

2692053225 has 45 divisors (see below), whose sum is σ = 4990941813. Its totient is φ = 1434516480.

The previous prime is 2692053223. The next prime is 2692053251. The reversal of 2692053225 is 5223502962.

It is a happy number.

The square root of 2692053225 is 51885.

It is a perfect power (a square), and thus also a powerful number.

2692053225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75116889 + 2616936336 = 8667^2 + 51156^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2692053225 - 21 = 2692053223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2692053225.

It is not an unprimeable number, because it can be changed into a prime (2692053223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2334249 + ... + 2335401.

Almost surely, 22692053225 is an apocalyptic number.

2692053225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2692053225 is the 51885-th square number.

2692053225 is the 25943-rd centered octagonal number.

It is an amenable number.

2692053225 is a deficient number, since it is larger than the sum of its proper divisors (2298888588).

2692053225 is an frugal number, since it uses more digits than its factorization.

2692053225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 2692053225 is about 1391.1091719616.

Multiplying 2692053225 by its sum of digits (36), we get a square (96913916100 = 3113102).

The spelling of 2692053225 in words is "two billion, six hundred ninety-two million, fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1153 2025 3459 5765 10377 17295 28825 31131 51885 86475 93393 155655 259425 466965 778275 1329409 2334825 3988227 6647045 11964681 19941135 33235225 35894043 59823405 99705675 107682129 179470215 299117025 538410645 897351075 2692053225