Search a number
-
+
35221530276 = 223231210092
BaseRepresentation
bin100000110011010111…
…011110011010100100
310100220122112010100100
4200303113132122210
51034113202432101
624102555344100
72354552032122
oct406327363244
9110818463310
1035221530276
1113a346aa009
1269ab752030
1334240a8a9a
1419c1ad4912
15db223de86
hex8335de6a4

35221530276 has 81 divisors (see below), whose sum is σ = 92088120033. Its totient is φ = 11350523520.

The previous prime is 35221530247. The next prime is 35221530277. The reversal of 35221530276 is 67203512253.

The square root of 35221530276 is 187674.

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

35221530276 is a `hidden beast` number, since 3 + 52 + 2 + 1 + 530 + 2 + 76 = 666.

35221530276 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 only one way, i.e., 10810592676 + 24410937600 = 103974^2 + 156240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35221530276.

It is not an unprimeable number, because it can be changed into a prime (35221530277) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34906860 + ... + 34907868.

Almost surely, 235221530276 is an apocalyptic number.

35221530276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35221530276 is the 187674-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35221530276

35221530276 is an abundant number, since it is smaller than the sum of its proper divisors (56866589757).

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

35221530276 is a wasteful number, since it uses less digits than its factorization.

35221530276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 35221530276 by its sum of digits (36), we get a square (1267975089936 = 11260442).

35221530276 divided by its sum of digits (36) gives a square (978375841 = 312792).

The spelling of 35221530276 in words is "thirty-five billion, two hundred twenty-one million, five hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1009 1116 1922 2018 2883 3027 3844 4036 5766 6054 8649 9081 11532 12108 17298 18162 31279 34596 36324 62558 93837 125116 187674 281511 375348 563022 969649 1018081 1126044 1939298 2036162 2908947 3054243 3878596 4072324 5817894 6108486 8726841 9162729 11635788 12216972 17453682 18325458 31560511 34907364 36650916 63121022 94681533 126242044 189363066 284044599 378726132 568089198 978375841 1136178396 1956751682 2935127523 3913503364 5870255046 8805382569 11740510092 17610765138 35221530276