Search a number
-
+
1221950430 = 232563121517
BaseRepresentation
bin100100011010101…
…0111101111011110
310011011022111212100
41020311113233132
510000304403210
6321130345530
742165256461
oct11065275736
93134274770
101221950430
11577839498
122a128b2a6
1316620b5bc
14b84052d8
15724245c0
hex48d57bde

1221950430 has 48 divisors (see below), whose sum is σ = 3182253984. Its totient is φ = 325321920.

The previous prime is 1221950413. The next prime is 1221950441. The reversal of 1221950430 is 340591221.

1221950430 is a `hidden beast` number, since 1 + 221 + 9 + 5 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1221950394 and 1221950403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46032 + ... + 67548.

It is an arithmetic number, because the mean of its divisors is an integer number (66296958).

Almost surely, 21221950430 is an apocalyptic number.

1221950430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1221950430 is an abundant number, since it is smaller than the sum of its proper divisors (1960303554).

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

1221950430 is a wasteful number, since it uses less digits than its factorization.

1221950430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22161 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1221950430 is about 34956.4075671400. The cubic root of 1221950430 is about 1069.0988511338.

The spelling of 1221950430 in words is "one billion, two hundred twenty-one million, nine hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 631 1262 1893 3155 3786 5679 6310 9465 11358 18930 21517 28395 43034 56790 64551 107585 129102 193653 215170 322755 387306 645510 968265 1936530 13577227 27154454 40731681 67886135 81463362 122195043 135772270 203658405 244390086 407316810 610975215 1221950430