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221232400340 = 22572921878991
BaseRepresentation
bin1100111000001001111…
…0101000011111010100
3210011001001210101012012
43032002132220133110
512111040443302330
6245344402043352
721661226242550
oct3160236503724
9704031711165
10221232400340
1185907a168a6
1236a62349558
1317b29123983
14a9c9d2c860
155b4c4cac95
hex33827a87d4

221232400340 has 72 divisors (see below), whose sum is σ = 549898282752. Its totient is φ = 73235514240.

The previous prime is 221232400327. The next prime is 221232400351. The reversal of 221232400340 is 43004232122.

221232400340 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821756 + ... + 1057235.

Almost surely, 2221232400340 is an apocalyptic number.

221232400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232400340 is an abundant number, since it is smaller than the sum of its proper divisors (328665882412).

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

221232400340 is a wasteful number, since it uses less digits than its factorization.

221232400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879065 (or 1879034 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 221232400340 its reverse (43004232122), we get a palindrome (264236632462).

The spelling of 221232400340 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1682 2030 3364 4060 4205 5887 8410 11774 16820 23548 29435 58870 117740 1878991 3757982 7515964 9394955 13152937 18789910 26305874 37579820 52611748 54490739 65764685 108981478 131529370 217962956 263058740 272453695 381435173 544907390 762870346 1089814780 1525740692 1580231431 1907175865 3160462862 3814351730 6320925724 7628703460 7901157155 11061620017 15802314310 22123240034 31604628620 44246480068 55308100085 110616200170 221232400340