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4225468645224 = 233335815462819
BaseRepresentation
bin111101011111010001100…
…011101011111101101000
3112221221200011201121122000
4331133101203223331220
51023212224433121344
612553053053331000
7614165023605111
oct75372143537550
915857604647560
104225468645224
11138a01398a9a2
12582b10a96a60
132485c9778688
14108729b1b208
1574daa324a69
hex3d7d18ebf68

4225468645224 has 64 divisors (see below), whose sum is σ = 11740692744000. Its totient is φ = 1408095967680.

The previous prime is 4225468645217. The next prime is 4225468645231.

4225468645224 is a `hidden beast` number, since 4 + 2 + 2 + 54 + 6 + 8 + 64 + 522 + 4 = 666.

4225468645224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4225468645217) and next prime (4225468645231).

It is a super-2 number, since 2×42254686452242 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 1957914 + ... + 3504905.

It is an arithmetic number, because the mean of its divisors is an integer number (183448324125).

Almost surely, 24225468645224 is an apocalyptic number.

It is an amenable number.

4225468645224 is an abundant number, since it is smaller than the sum of its proper divisors (7515224098776).

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

4225468645224 is a wasteful number, since it uses less digits than its factorization.

4225468645224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466415 (or 5466405 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 4225468645224 in words is "four trillion, two hundred twenty-five billion, four hundred sixty-eight million, six hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3581 7162 10743 14324 21486 28648 32229 42972 64458 85944 96687 128916 193374 257832 386748 773496 5462819 10925638 16388457 21851276 32776914 43702552 49165371 65553828 98330742 131107656 147496113 196661484 294992226 393322968 589984452 1179968904 19562354839 39124709678 58687064517 78249419356 117374129034 156498838712 176061193551 234748258068 352122387102 469496516136 528183580653 704244774204 1056367161306 1408489548408 2112734322612 4225468645224