Search a number
-
+
226102762755 = 325174320393371
BaseRepresentation
bin1101001010010011000…
…1100101110100000011
3210121121111020102102100
43102210301211310003
512201024301402010
6251511542521443
722223015526102
oct3224461456403
9717544212370
10226102762755
118798712a201
12379a1436283
1318424162a1c
14ad2cac6039
155d34d762c0
hex34a4c65d03

226102762755 has 96 divisors (see below), whose sum is σ = 424949690880. Its totient is φ = 110768071680.

The previous prime is 226102762747. The next prime is 226102762811. The reversal of 226102762755 is 557267201622.

226102762755 is a `hidden beast` number, since 2 + 2 + 6 + 10 + 2 + 7 + 627 + 5 + 5 = 666.

It is not a de Polignac number, because 226102762755 - 23 = 226102762747 is a prime.

It is a super-2 number, since 2×2261027627552 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 226102762755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67071220 + ... + 67074590.

It is an arithmetic number, because the mean of its divisors is an integer number (4426559280).

Almost surely, 2226102762755 is an apocalyptic number.

226102762755 is a deficient number, since it is larger than the sum of its proper divisors (198846928125).

226102762755 is a wasteful number, since it uses less digits than its factorization.

226102762755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 226102762755 in words is "two hundred twenty-six billion, one hundred two million, seven hundred sixty-two thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 43 45 51 85 129 153 215 255 387 645 731 765 1935 2039 2193 3371 3655 6117 6579 10113 10195 10965 16855 18351 30339 30585 32895 34663 50565 57307 87677 91755 103989 144953 151695 171921 173315 263031 286535 311967 434859 438385 515763 519945 724765 789093 859605 1304577 1315155 1490509 1559835 2174295 2464201 2578815 3945465 4471527 6522885 6873469 7392603 7452545 12321005 13414581 20620407 22177809 22357635 34367345 36963015 61861221 67072905 103102035 110889045 116848973 295559167 309306105 350546919 584244865 886677501 1051640757 1477795835 1752734595 2660032503 4433387505 5024505839 5258203785 13300162515 15073517517 25122529195 45220552551 75367587585 226102762755