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4224110000202 = 233197974370141
BaseRepresentation
bin111101011110000000100…
…100110111100001001010
3112221211011111012022001000
4331132000210313201022
51023201434130001302
612552310201035430
7614116245402651
oct75360044674112
915854144168030
104224110000202
111389486a77874
125827b1a85b76
13248441149401
1410863b4d2198
1574d2aded31c
hex3d78093784a

4224110000202 has 128 divisors (see below), whose sum is σ = 10019644416000. Its totient is φ = 1315252935360.

The previous prime is 4224110000147. The next prime is 4224110000249. The reversal of 4224110000202 is 2020000114224.

4224110000202 is a `hidden beast` number, since 422 + 41 + 1 + 0 + 0 + 0 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60188052 + ... + 60258192.

It is an arithmetic number, because the mean of its divisors is an integer number (78278472000).

Almost surely, 24224110000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224110000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009822208000).

4224110000202 is an abundant number, since it is smaller than the sum of its proper divisors (5795534415798).

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

4224110000202 is a wasteful number, since it uses less digits than its factorization.

4224110000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70993 (or 70987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4224110000202 its reverse (2020000114224), we get a palindrome (6244110114426).

The spelling of 4224110000202 in words is "four trillion, two hundred twenty-four billion, one hundred ten million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 114 158 171 237 342 474 513 711 743 1026 1422 1486 1501 2133 2229 3002 4266 4458 4503 6687 9006 13374 13509 14117 20061 27018 28234 40122 40527 42351 58697 70141 81054 84702 117394 127053 140282 176091 210423 254106 352182 381159 420846 528273 631269 762318 1056546 1115243 1262538 1332679 1584819 1893807 2230486 2665358 3169638 3345729 3787614 3998037 5541139 6691458 7996074 10037187 11082278 11994111 16623417 20074374 23988222 30111561 33246834 35982333 49870251 52114763 60223122 71964666 99740502 104229526 105281641 149610753 156344289 210563282 299221506 312688578 315844923 469032867 631689846 938065734 947534769 990180497 1407098601 1895069538 1980360994 2814197202 2842604307 2970541491 4117066277 5685208614 5941082982 8234132554 8911624473 12351198831 17823248946 24702397662 26734873419 37053596493 53469746838 74107192986 78224259263 111160789479 156448518526 222321578958 234672777789 469345555578 704018333367 1408036666734 2112055000101 4224110000202