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1221341140 = 225371679883
BaseRepresentation
bin100100011001100…
…0010111111010100
310011010011120002001
41020303002333110
510000130404030
6321105325044
742160141225
oct11063027724
93133146061
101221341140
11577462748
122a1036784
13166057186
14b82c724c
1572353cca
hex48cc2fd4

1221341140 has 48 divisors (see below), whose sum is σ = 2650177152. Its totient is φ = 472438656.

The previous prime is 1221341137. The next prime is 1221341159. The reversal of 1221341140 is 411431221.

1221341140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118639 + ... + 128521.

It is an arithmetic number, because the mean of its divisors is an integer number (55212024).

Almost surely, 21221341140 is an apocalyptic number.

1221341140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325088576).

1221341140 is an abundant number, since it is smaller than the sum of its proper divisors (1428836012).

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

1221341140 is a wasteful number, since it uses less digits than its factorization.

1221341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1221341140 is about 34947.6914831295. The cubic root of 1221341140 is about 1068.9211299217.

Adding to 1221341140 its reverse (411431221), we get a palindrome (1632772361).

The spelling of 1221341140 in words is "one billion, two hundred twenty-one million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 167 185 334 370 668 740 835 1670 3340 6179 9883 12358 19766 24716 30895 39532 49415 61790 98830 123580 197660 365671 731342 1462684 1650461 1828355 3300922 3656710 6601844 7313420 8252305 16504610 33009220 61067057 122134114 244268228 305335285 610670570 1221341140