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234001013224 = 231129611679001
BaseRepresentation
bin1101100111101110001…
…1000001100111101000
3211100222221012010012111
43121323203001213220
512313213224410344
6255255405452104
722622522536306
oct3317343014750
9740887163174
10234001013224
119026a520730
1239426571034
13190b259bc04
14b47ba65276
156148473834
hex367b8c19e8

234001013224 has 128 divisors (see below), whose sum is σ = 506330092800. Its totient is φ = 100396800000.

The previous prime is 234001013173. The next prime is 234001013243. The reversal of 234001013224 is 422310100432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 234001013195 and 234001013204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25992724 + ... + 26001724.

It is an arithmetic number, because the mean of its divisors is an integer number (3955703850).

Almost surely, 2234001013224 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 234001013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253165046400).

234001013224 is an abundant number, since it is smaller than the sum of its proper divisors (272329079576).

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

234001013224 is a wasteful number, since it uses less digits than its factorization.

234001013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9275 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 234001013224 its reverse (422310100432), we get a palindrome (656311113656).

The spelling of 234001013224 in words is "two hundred thirty-four billion, one million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 61 88 116 122 167 232 244 319 334 488 638 668 671 1276 1336 1342 1769 1837 2552 2684 3538 3674 4843 5368 7076 7348 9001 9686 10187 14152 14696 18002 19372 19459 20374 36004 38744 38918 40748 53273 72008 77836 81496 99011 106546 112057 155672 198022 213092 224114 261029 295423 396044 426184 448228 522058 549061 590846 792088 896456 1044116 1098122 1181692 1503167 2088232 2196244 2363384 2871319 3006334 3249653 4392488 5742638 6012668 6039671 6499306 11485276 12025336 12079342 12998612 15922769 16534837 22970552 24158684 25997224 31845538 33069674 43591843 48317368 63691076 66139348 87183686 91693187 127382152 132278696 174367372 175150459 183386374 348734744 350300918 366772748 479510273 700601836 733545496 959020546 1008625057 1401203672 1918041092 2017250114 2659102423 3836082184 4034500228 5318204846 8069000456 10636409692 21272819384 29250126653 58500253306 117000506612 234001013224