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201220145352 = 23334321664529
BaseRepresentation
bin1011101101100110100…
…1111100000011001000
3201020101101012111021000
42323121221330003020
511244044324122402
6232234514015000
720352265005042
oct2733151740310
9636341174230
10201220145352
1178378587496
1232bb8277460
1315c8a047c85
149a4c176a92
15537a63dc1c
hex2ed9a7c0c8

201220145352 has 64 divisors (see below), whose sum is σ = 571943592000. Its totient is φ = 65513532672.

The previous prime is 201220145351. The next prime is 201220145353. The reversal of 201220145352 is 253541022102.

201220145352 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 201 + 453 + 5 + 2 = 666.

201220145352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201220145351) and next prime (201220145353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201220145351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10822977 + ... + 10841552.

It is an arithmetic number, because the mean of its divisors is an integer number (8936618625).

Almost surely, 2201220145352 is an apocalyptic number.

It is an amenable number.

201220145352 is an abundant number, since it is smaller than the sum of its proper divisors (370723446648).

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

201220145352 is a wasteful number, since it uses less digits than its factorization.

201220145352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21664587 (or 21664577 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 201220145352 its reverse (253541022102), we get a palindrome (454761167454).

The spelling of 201220145352 in words is "two hundred one billion, two hundred twenty million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 21664529 43329058 64993587 86658116 129987174 173316232 194980761 259974348 389961522 519948696 584942283 779923044 931574747 1169884566 1559846088 1863149494 2339769132 2794724241 3726298988 4679538264 5589448482 7452597976 8384172723 11178896964 16768345446 22357793928 25152518169 33536690892 50305036338 67073381784 100610072676 201220145352