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3223454130 = 234513306121
BaseRepresentation
bin1100000000100010…
…0000000110110010
322022122111102210000
43000020200012302
523100201013010
61251505450430
7142610623311
oct30010400662
98278442700
103223454130
111404612886
1275b640a16
133c4a91210
14228172278
1513ced27c0
hexc02201b2

3223454130 has 80 divisors (see below), whose sum is σ = 9334272024. Its totient is φ = 793463040.

The previous prime is 3223454123. The next prime is 3223454137. The reversal of 3223454130 is 314543223.

It is an interprime number because it is at equal distance from previous prime (3223454123) and next prime (3223454137).

It can be written as a sum of positive squares in 4 ways, for example, as 2150826129 + 1072628001 = 46377^2 + 32751^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3223454094 and 3223454103.

It is not an unprimeable number, because it can be changed into a prime (3223454137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142531 + ... + 163590.

Almost surely, 23223454130 is an apocalyptic number.

3223454130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3223454130 is an abundant number, since it is smaller than the sum of its proper divisors (6110817894).

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

3223454130 is a wasteful number, since it uses less digits than its factorization.

3223454130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306153 (or 306144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3223454130 is about 56775.4712001583. The cubic root of 3223454130 is about 1477.2040789508.

Adding to 3223454130 its reverse (314543223), we get a palindrome (3537997353).

The spelling of 3223454130 in words is "three billion, two hundred twenty-three million, four hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 306121 612242 918363 1530605 1836726 2755089 3061210 3979573 4591815 5510178 7959146 8265267 9183630 11938719 13775445 16530534 19897865 23877438 24795801 27550890 35816157 39795730 41326335 49591602 59693595 71632314 82652670 107448471 119387190 123979005 179080785 214896942 247958010 322345413 358161570 537242355 644690826 1074484710 1611727065 3223454130