[go: up one dir, main page]

Search a number
-
+
3223400454 = 233592274457
BaseRepresentation
bin1100000000100001…
…0011000000000110
322022122101201011000
43000020103000012
523100142303304
61251504354130
7142610310651
oct30010230006
98278351130
103223400454
11140458651a
1275b615946
133c4a72961
1422815a898
1513cec1939
hexc0213006

3223400454 has 64 divisors (see below), whose sum is σ = 7318252800. Its totient is φ = 1051366464.

The previous prime is 3223400419. The next prime is 3223400459. The reversal of 3223400454 is 4540043223.

It is a super-2 number, since 2×32234004542 = 20780620973694812232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223400459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720994 + ... + 725450.

It is an arithmetic number, because the mean of its divisors is an integer number (114347700).

Almost surely, 23223400454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223400454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659126400).

3223400454 is an abundant number, since it is smaller than the sum of its proper divisors (4094852346).

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

3223400454 is a wasteful number, since it uses less digits than its factorization.

3223400454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3223400454 is about 56774.9984940555. The cubic root of 3223400454 is about 1477.1958795842.

Adding to 3223400454 its reverse (4540043223), we get a palindrome (7763443677).

The spelling of 3223400454 in words is "three billion, two hundred twenty-three million, four hundred thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 227 354 454 531 681 1062 1362 1593 2043 3186 4086 4457 6129 8914 12258 13371 13393 26742 26786 40113 40179 80226 80358 120339 120537 240678 241074 262963 361611 525926 723222 788889 1011739 1577778 2023478 2366667 3035217 4733334 6070434 7100001 9105651 14200002 18211302 27316953 54633906 59692601 119385202 179077803 358155606 537233409 1074466818 1611700227 3223400454