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225144046332 = 2232311491353973
BaseRepresentation
bin1101000110101110100…
…0011000001011111100
3210112010200020120201200
43101223220120023330
512142043333440312
6251232454135500
722160164550352
oct3215350301374
9715120216650
10225144046332
1187534a43387
1237774351590
131830064b6ba
14ac7b6437d2
155ccaaec0dc
hex346ba182fc

225144046332 has 72 divisors (see below), whose sum is σ = 591415843200. Its totient is φ = 72139628160.

The previous prime is 225144046313. The next prime is 225144046381. The reversal of 225144046332 is 233640441522.

225144046332 is a `hidden beast` number, since 2 + 2 + 5 + 14 + 4 + 0 + 4 + 633 + 2 = 666.

225144046332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2251440463323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 510703 + ... + 843270.

Almost surely, 2225144046332 is an apocalyptic number.

It is an amenable number.

225144046332 is an abundant number, since it is smaller than the sum of its proper divisors (366271796868).

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

225144046332 is a wasteful number, since it uses less digits than its factorization.

225144046332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354163 (or 1354158 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 225144046332 its reverse (233640441522), we get a palindrome (458784487854).

The spelling of 225144046332 in words is "two hundred twenty-five billion, one hundred forty-four million, forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 149 186 279 298 372 447 558 596 894 1116 1341 1788 2682 4619 5364 9238 13857 18476 27714 41571 55428 83142 166284 1353973 2707946 4061919 5415892 8123838 12185757 16247676 24371514 41973163 48743028 83946326 125919489 167892652 201741977 251838978 377758467 403483954 503677956 605225931 755516934 806967908 1210451862 1511033868 1815677793 2420903724 3631355586 6254001287 7262711172 12508002574 18762003861 25016005148 37524007722 56286011583 75048015444 112572023166 225144046332