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221442132340 = 2251113103974521
BaseRepresentation
bin1100111000111011111…
…0101100100101110100
3210011120200102212102001
43032032332230211310
512112003141213330
6245421253225044
721666354032242
oct3161676544564
9704520385361
10221442132340
1185a05346630
1236b00632184
1317b60707850
14aa09b25792
155b60b089ca
hex338efac974

221442132340 has 96 divisors (see below), whose sum is σ = 546860321280. Its totient is φ = 74257689600.

The previous prime is 221442132287. The next prime is 221442132397. The reversal of 221442132340 is 43231244122.

It is a junction number, because it is equal to n+sod(n) for n = 221442132299 and 221442132308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2934280 + ... + 3008800.

It is an arithmetic number, because the mean of its divisors is an integer number (5696461680).

Almost surely, 2221442132340 is an apocalyptic number.

221442132340 is a gapful number since it is divisible by the number (20) 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 221442132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273430160640).

221442132340 is an abundant number, since it is smaller than the sum of its proper divisors (325418188940).

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

221442132340 is a wasteful number, since it uses less digits than its factorization.

221442132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75593 (or 75591 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 221442132340 its reverse (43231244122), we get a palindrome (264673376462).

The spelling of 221442132340 in words is "two hundred twenty-one billion, four hundred forty-two million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1039 1430 2078 2860 4156 5195 10390 11429 13507 20780 22858 27014 45716 54028 57145 67535 74521 114290 135070 148577 149042 228580 270140 297154 298084 372605 594308 742885 745210 819731 968773 1485770 1490420 1639462 1937546 2971540 3278924 3875092 4098655 4843865 8197310 9687730 10656503 16394620 19375460 21313006 42626012 53282515 77427319 106565030 154854638 213130060 309709276 387136595 774273190 851700509 1006555147 1548546380 1703401018 2013110294 3406802036 4026220588 4258502545 5032775735 8517005090 10065551470 11072106617 17034010180 20131102940 22144213234 44288426468 55360533085 110721066170 221442132340