Search a number
-
+
215881036900 = 22529724792
BaseRepresentation
bin1100100100001110000…
…0110011010001100100
3202122020010020221121021
43021003200303101210
512014111021140100
6243101355500524
721411506352064
oct3110340632144
9678203227537
10215881036900
1183611243291
1235a0a157744
1317485552429
14a63d3273a4
1559377bba1a
hex3243833464

215881036900 has 81 divisors (see below), whose sum is σ = 474331391499. Its totient is φ = 85283765760.

The previous prime is 215881036879. The next prime is 215881036939. The reversal of 215881036900 is 9630188512.

The square root of 215881036900 is 464630.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7937740836 + 207943296064 = 89094^2 + 456008^2 .

It is a super-2 number, since 2×2158810369002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450690861 + ... + 450691339.

Almost surely, 2215881036900 is an apocalyptic number.

215881036900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

215881036900 is the 464630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215881036900

215881036900 is an abundant number, since it is smaller than the sum of its proper divisors (258450354599).

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

215881036900 is an frugal number, since it uses more digits than its factorization.

215881036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 215881036900 in words is "two hundred fifteen billion, eight hundred eighty-one million, thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 479 485 958 970 1916 1940 2395 2425 4790 4850 9409 9580 9700 11975 18818 23950 37636 46463 47045 47900 92926 94090 185852 188180 229441 232315 235225 458882 464630 470450 917764 929260 940900 1147205 1161575 2294410 2323150 4506911 4588820 4646300 5736025 9013822 11472050 18027644 22255777 22534555 22944100 44511554 45069110 89023108 90138220 111278885 112672775 222557770 225345550 445115540 450691100 556394425 1112788850 2158810369 2225577700 4317620738 8635241476 10794051845 21588103690 43176207380 53970259225 107940518450 215881036900