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221412214122 = 23117681436757
BaseRepresentation
bin1100111000110100110…
…0100100010101101010
3210011111121010212022220
43032031030210111222
512111423011322442
6245414304054510
721665541524151
oct3161514442552
9704447125286
10221412214122
118599a471630
1236ab2604436
1317b57460b68
14aa05b78598
155b5d198eec
hex338d32456a

221412214122 has 32 divisors (see below), whose sum is σ = 483145193664. Its totient is φ = 67085721600.

The previous prime is 221412214109. The next prime is 221412214123.

221412214122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221412214092 and 221412214101.

It is not an unprimeable number, because it can be changed into a prime (221412214123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288568 + ... + 725324.

It is an arithmetic number, because the mean of its divisors is an integer number (15098287302).

Almost surely, 2221412214122 is an apocalyptic number.

221412214122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221412214122 is an abundant number, since it is smaller than the sum of its proper divisors (261732979542).

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

221412214122 is a wasteful number, since it uses less digits than its factorization.

221412214122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444454.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 221412 and 214122, that added together give a palindrome (435534).

The spelling of 221412214122 in words is "two hundred twenty-one billion, four hundred twelve million, two hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 7681 15362 23043 46086 84491 168982 253473 436757 506946 873514 1310271 2620542 4804327 9608654 14412981 28825962 3354730517 6709461034 10064191551 20128383102 36902035687 73804071374 110706107061 221412214122