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230151789084 = 223743194932693
BaseRepresentation
bin1101011001011000011…
…1011001101000011100
3211000001200012021100110
43112112013121220130
512232322324222314
6253421423330020
722425242633430
oct3262607315034
9730050167313
10230151789084
1189674759658
1238731450910
131891ac8b5a9
14b1d475c9c0
155ec0582a59
hex35961d9a1c

230151789084 has 96 divisors (see below), whose sum is σ = 628352524800. Its totient is φ = 64193488128.

The previous prime is 230151789059. The next prime is 230151789169. The reversal of 230151789084 is 480987151032.

230151789084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 7023442 + ... + 7056134.

It is an arithmetic number, because the mean of its divisors is an integer number (6545338800).

Almost surely, 2230151789084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230151789084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314176262400).

230151789084 is an abundant number, since it is smaller than the sum of its proper divisors (398200735716).

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

230151789084 is a wasteful number, since it uses less digits than its factorization.

230151789084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34699 (or 34697 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 230151789084 in words is "two hundred thirty billion, one hundred fifty-one million, seven hundred eighty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1949 3612 3898 5847 7796 11694 13643 23388 27286 32693 40929 54572 65386 81858 83807 98079 130772 163716 167614 196158 228851 251421 335228 392316 457702 502842 586649 686553 915404 1005684 1173298 1373106 1405799 1759947 2346596 2746212 2811598 3519894 4217397 5623196 7039788 8434794 9840593 16869588 19681186 29521779 39362372 59043558 63718657 118087116 127437314 191155971 254874628 382311942 446030599 764623884 892061198 1338091797 1784122396 2676183594 2739902251 5352367188 5479804502 8219706753 10959609004 16439413506 19179315757 32878827012 38358631514 57537947271 76717263028 115075894542 230151789084