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2090323182025 = 52134292592
BaseRepresentation
bin11110011010110000111…
…110001000000111001001
321101211111012211220111001
4132122300332020013021
5233221440213311100
64240140424135001
7304010104612201
oct36326076100711
97354435756431
102090323182025
11736556a3a361
12299151007461
13122169310000
147325a677401
15395928e6d6a
hex1e6b0f881c9

2090323182025 has 135 divisors (see below), whose sum is σ = 2958285749081. Its totient is φ = 1465133953920.

The previous prime is 2090323182023. The next prime is 2090323182061. The reversal of 2090323182025 is 5202813230902.

The square root of 2090323182025 is 1445795.

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

It can be written as a sum of positive squares in 22 ways, for example, as 810293426569 + 1280029755456 = 900163^2 + 1131384^2 .

It is not a de Polignac number, because 2090323182025 - 21 = 2090323182023 is a prime.

It is a super-2 number, since 2×20903231820252 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2090323182023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35429206446 + ... + 35429206504.

Almost surely, 22090323182025 is an apocalyptic number.

2090323182025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2090323182025 is the 1445795-th square number.

2090323182025 is the 722898-th centered octagonal number.

It is an amenable number.

2090323182025 is a deficient number, since it is larger than the sum of its proper divisors (867962567056).

2090323182025 is an frugal number, since it uses more digits than its factorization.

2090323182025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2090323182025 in words is "two trillion, ninety billion, three hundred twenty-three million, one hundred eighty-two thousand, twenty-five".

Divisors: 1 5 13 25 29 59 65 145 169 295 325 377 725 767 841 845 1475 1711 1885 2197 3481 3835 4205 4225 4901 8555 9425 9971 10933 10985 17405 19175 21025 22243 24505 28561 42775 45253 49619 49855 54665 54925 63713 87025 100949 111215 122525 129623 142129 142805 226265 248095 249275 273325 289159 318565 504745 556075 588289 645047 648115 710645 714025 828269 1131325 1240475 1312337 1445795 1592825 1685099 1847677 2523725 2927521 2941445 3225235 3240575 3553225 3759067 4141345 6561685 7228975 7647757 8385611 8425495 9238385 14637605 14707225 16126175 17060381 18795335 20706725 24019801 32808425 38057773 38238785 41928055 42127475 46191925 48867871 73188025 85301905 93976675 99420841 109012943 120099005 190288865 191193925 209640275 221784953 244339355 426509525 494751049 497104205 545064715 600495025 951444325 1108924765 1221696775 1417168259 2473755245 2485521025 2725323575 2883204389 5544623825 6431763637 7085841295 12368776225 14416021945 32158818185 35429206475 72080109725 83612927281 160794090925 418064636405 2090323182025