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229321330944 = 2834367103643
BaseRepresentation
bin1101010110010010011…
…1011101000100000000
3210220220210112121221120
43111210213131010000
512224122230042234
6253203155552240
722365540102606
oct3254447350400
9726823477846
10229321330944
1189288a05112
123853b2bb680
1318817c03044
14b156345876
155e726e1049
hex35649dd100

229321330944 has 144 divisors (see below), whose sum is σ = 633850221312. Its totient is φ = 73547679744.

The previous prime is 229321330937. The next prime is 229321330949. The reversal of 229321330944 is 449033123922.

It is a super-2 number, since 2×2293213309442 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 229321330896 and 229321330905.

It is not an unprimeable number, because it can be changed into a prime (229321330949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160787 + ... + 2264429.

It is an arithmetic number, because the mean of its divisors is an integer number (4401737648).

Almost surely, 2229321330944 is an apocalyptic number.

229321330944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229321330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316925110656).

229321330944 is an abundant number, since it is smaller than the sum of its proper divisors (404528890368).

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

229321330944 is a wasteful number, since it uses less digits than its factorization.

229321330944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103772 (or 103758 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 229321330944 in words is "two hundred twenty-nine billion, three hundred twenty-one million, three hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 67 86 96 128 129 134 172 192 201 256 258 268 344 384 402 516 536 688 768 804 1032 1072 1376 1608 2064 2144 2752 2881 3216 4128 4288 5504 5762 6432 8256 8576 8643 11008 11524 12864 16512 17152 17286 23048 25728 33024 34572 46096 51456 69144 92192 103643 138288 184384 207286 276576 310929 368768 414572 553152 621858 737536 829144 1106304 1243716 1658288 2212608 2487432 3316576 4456649 4974864 6633152 6944081 8913298 9949728 13266304 13369947 13888162 17826596 19899456 20832243 26532608 26739894 27776324 35653192 39798912 41664486 53479788 55552648 71306384 79597824 83328972 106959576 111105296 142612768 166657944 213919152 222210592 285225536 298595483 333315888 427838304 444421184 570451072 597190966 666631776 855676608 888842368 895786449 1140902144 1194381932 1333263552 1711353216 1777684736 1791572898 2388763864 2666527104 3422706432 3583145796 4777527728 5333054208 7166291592 9555055456 14332583184 19110110912 28665166368 38220221824 57330332736 76440443648 114660665472 229321330944