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1222132340 = 2251113569751
BaseRepresentation
bin100100011011000…
…0100001001110100
310011011122202101202
41020312010021310
510000331213330
6321134312032
742166645022
oct11066041164
93134582352
101222132340
11577953130
122a1358618
13166273340
14b8451712
157245d445
hex48d84274

1222132340 has 96 divisors (see below), whose sum is σ = 3024483840. Its totient is φ = 408960000.

The previous prime is 1222132321. The next prime is 1222132349. The reversal of 1222132340 is 432312221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222132349) 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, 1626965 + ... + 1627715.

It is an arithmetic number, because the mean of its divisors is an integer number (31505040).

Almost surely, 21222132340 is an apocalyptic number.

1222132340 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 1222132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512241920).

1222132340 is an abundant number, since it is smaller than the sum of its proper divisors (1802351500).

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

1222132340 is a wasteful number, since it uses less digits than its factorization.

1222132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1222132340 is about 34959.0094253255. The cubic root of 1222132340 is about 1069.1519002367.

Adding to 1222132340 its reverse (432312221), we get a palindrome (1654444561).

The spelling of 1222132340 in words is "one billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 569 572 715 751 1138 1430 1502 2276 2845 2860 3004 3755 5690 6259 7397 7510 8261 9763 11380 12518 14794 15020 16522 19526 25036 29588 31295 33044 36985 39052 41305 48815 62590 73970 81367 82610 97630 107393 125180 147940 162734 165220 195260 214786 325468 406835 427319 429572 536965 813670 854638 1073930 1627340 1709276 2136595 2147860 4273190 4700509 5555147 8546380 9401018 11110294 18802036 22220588 23502545 27775735 47005090 55551470 61106617 94010180 111102940 122213234 244426468 305533085 611066170 1222132340