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221424313402000 = 2453532088908617
BaseRepresentation
bin110010010110001001011101…
…100010111000001010010000
31002000222221212010001011010101
4302112021131202320022100
5213010303443212331000
62102532531510542144
764432243621445422
oct6226113542701220
91060887763034111
10221424313402000
1164609584439435
1220a01622667954
1396722b9386a87
143c96dcb588812
151a8eb4b830e6a
hexc9625d8b8290

221424313402000 has 80 divisors (see below), whose sum is σ = 545505952138992. Its totient is φ = 86898598425600.

The previous prime is 221424313401953. The next prime is 221424313402013. The reversal of 221424313402000 is 204313424122.

It can be written as a sum of positive squares in 8 ways, for example, as 42258164394384 + 179166149007616 = 6500628^2 + 13385296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 221424313402000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044348309 + ... + 1044560308.

Almost surely, 2221424313402000 is an apocalyptic number.

221424313402000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221424313402000 is an abundant number, since it is smaller than the sum of its proper divisors (324081638736992).

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

221424313402000 is a wasteful number, since it uses less digits than its factorization.

221424313402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088908693 (or 2088908677 counting only the distinct ones).

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

Adding to 221424313402000 its reverse (204313424122), we get a palindrome (221628626826122).

The spelling of 221424313402000 in words is "two hundred twenty-one trillion, four hundred twenty-four billion, three hundred thirteen million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 106000 2088908617 4177817234 8355634468 10444543085 16711268936 20889086170 33422537872 41778172340 52222715425 83556344680 104445430850 110712156701 167112689360 208890861700 221424313402 261113577125 417781723400 442848626804 522227154250 553560783505 835563446800 885697253608 1044454308500 1107121567010 1771394507216 2088908617000 2214243134020 2767803917525 4177817234000 4428486268040 5535607835050 8856972536080 11071215670100 13839019587625 22142431340200 27678039175250 44284862680400 55356078350500 110712156701000 221424313402000