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213397802500 = 225492392
BaseRepresentation
bin1100011010111110000…
…0000000111000000100
3202101211001121120101211
43012233200000320010
511444014314140000
6242011131301204
721263124251461
oct3065740007004
9671731546354
10213397802500
1182557550553
12354365aa804
131717ac4316c
14a4855dc668
15583e7a37ba
hex31af800e04

213397802500 has 45 divisors (see below), whose sum is σ = 466708829587. Its totient is φ = 85349882000.

The previous prime is 213397802479. The next prime is 213397802539. The reversal of 213397802500 is 5208793312.

The square root of 213397802500 is 461950.

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

It can be written as a sum of positive squares in 2 ways, for example, as 16730387716 + 196667414784 = 129346^2 + 443472^2 .

It is a super-2 number, since 2×2133978025002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23092881 + ... + 23102119.

Almost surely, 2213397802500 is an apocalyptic number.

213397802500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213397802500 is the 461950-th square number.

It is an amenable number.

213397802500 is an abundant number, since it is smaller than the sum of its proper divisors (253311027087).

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

213397802500 is an frugal number, since it uses more digits than its factorization.

213397802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 213397802500 in words is "two hundred thirteen billion, three hundred ninety-seven million, eight hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 9239 18478 36956 46195 92390 184780 230975 461950 923900 1154875 2309750 4619500 5774375 11548750 23097500 85359121 170718242 341436484 426795605 853591210 1707182420 2133978025 4267956050 8535912100 10669890125 21339780250 42679560500 53349450625 106698901250 213397802500