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214226908488 = 2336317115877
BaseRepresentation
bin1100011110000011101…
…0110011010101001000
3202110221211201112000000
43013200322303111020
512002214042032423
6242225310043000
721322512451215
oct3074072632510
9673854645000
10214226908488
118294256110a
12356281a9460
1317280947118
14a523782b0c
15588c479843
hex31e0eb3548

214226908488 has 112 divisors (see below), whose sum is σ = 604142699580. Its totient is φ = 71183090304.

The previous prime is 214226908459. The next prime is 214226908523. The reversal of 214226908488 is 884809622412.

214226908488 is a `hidden beast` number, since 2 + 1 + 422 + 69 + 0 + 84 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159378205284 + 54848703204 = 399222^2 + 234198^2 .

It is a super-2 number, since 2×2142269084882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1790806 + ... + 1906682.

Almost surely, 2214226908488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214226908488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302071349790).

214226908488 is an abundant number, since it is smaller than the sum of its proper divisors (389915791092).

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

214226908488 is a wasteful number, since it uses less digits than its factorization.

214226908488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116218 (or 116199 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 214226908488 in words is "two hundred fourteen billion, two hundred twenty-six million, nine hundred eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 317 324 486 634 648 729 951 972 1268 1458 1902 1944 2536 2853 2916 3804 5706 5832 7608 8559 11412 17118 22824 25677 34236 51354 68472 77031 102708 115877 154062 205416 231093 231754 308124 347631 462186 463508 616248 695262 924372 927016 1042893 1390524 1848744 2085786 2781048 3128679 4171572 6257358 8343144 9386037 12514716 18772074 25029432 28158111 36733009 37544148 56316222 73466018 75088296 84474333 110199027 112632444 146932036 168948666 220398054 225264888 293864072 330597081 337897332 440796108 661194162 675794664 881592216 991791243 1322388324 1983582486 2644776648 2975373729 3967164972 5950747458 7934329944 8926121187 11901494916 17852242374 23802989832 26778363561 35704484748 53556727122 71408969496 107113454244 214226908488