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224972000506 = 21137276378379
BaseRepresentation
bin1101000110000101100…
…0000100110011111010
3210111200200111202020001
43101201120010303322
512141220313004011
6251203430423214
722153005311131
oct3214130046372
9714620452201
10224972000506
1187456913850
1237726801b0a
13182a3b01136
14ac6285a918
155cba9657c1
hex3461604cfa

224972000506 has 16 divisors (see below), whose sum is σ = 378085623840. Its totient is φ = 99496216080.

The previous prime is 224972000503. The next prime is 224972000509. The reversal of 224972000506 is 605000279422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224972000503) and next prime (224972000509).

It is a super-2 number, since 2×2249720005062 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (224972000503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138188376 + ... + 138190003.

It is an arithmetic number, because the mean of its divisors is an integer number (23630351490).

Almost surely, 2224972000506 is an apocalyptic number.

224972000506 is the 253531-st centered heptagonal number.

224972000506 is a deficient number, since it is larger than the sum of its proper divisors (153113623334).

224972000506 is a wasteful number, since it uses less digits than its factorization.

224972000506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276378429.

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 224972000506 its reverse (605000279422), we get a palindrome (829972279928).

The spelling of 224972000506 in words is "two hundred twenty-four billion, nine hundred seventy-two million, five hundred six", and thus it is an aban number.

Divisors: 1 2 11 22 37 74 407 814 276378379 552756758 3040162169 6080324338 10226000023 20452000046 112486000253 224972000506