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201415226664 = 233234113216737
BaseRepresentation
bin1011101110010101001…
…0000111010100101000
3201020212222021122111210
42323211102013110220
511244444244223124
6232310123153120
720360154115161
oct2734522072450
9636788248453
10201415226664
117846870aa13
12330516757a0
1315cbb59c4c2
149a6a038768
15538c825a29
hex2ee5487528

201415226664 has 128 divisors (see below), whose sum is σ = 538733825280. Its totient is φ = 62596300800.

The previous prime is 201415226629. The next prime is 201415226669. The reversal of 201415226664 is 466622514102.

It is a super-2 number, since 2×2014152266642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201415226669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29893504 + ... + 29900240.

It is an arithmetic number, because the mean of its divisors is an integer number (4208858010).

Almost surely, 2201415226664 is an apocalyptic number.

201415226664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201415226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269366912640).

201415226664 is an abundant number, since it is smaller than the sum of its proper divisors (337318598616).

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

201415226664 is a wasteful number, since it uses less digits than its factorization.

201415226664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 201415226664 in words is "two hundred one billion, four hundred fifteen million, two hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1321 1886 2642 2829 3772 3963 5284 5658 6737 7544 7926 10568 11316 13474 15852 20211 22632 26948 30383 31704 40422 53896 54161 60766 80844 91149 108322 121532 154951 161688 162483 182298 216644 243064 276217 309902 324966 364596 433288 464853 552434 619804 649932 729192 828651 929706 1104868 1239608 1245703 1299864 1657302 1859412 2209736 2491406 3314604 3718824 3737109 4982812 6352991 6629208 7474218 8899577 9965624 12705982 14948436 17799154 19058973 25411964 26698731 29896872 35598308 38117946 50823928 53397462 71196616 76235892 106794924 152471784 204690271 213589848 364882657 409380542 614070813 729765314 818761084 1094647971 1228141626 1459530628 1637522168 2189295942 2456283252 2919061256 4378591884 4912566504 8392301111 8757183768 16784602222 25176903333 33569204444 50353806666 67138408888 100707613332 201415226664