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87422232930 = 235173122692437
BaseRepresentation
bin101000101101011000…
…1010110100101100010
322100122121100120110220
41101122301112211202
52413020042423210
6104054453503510
76213255501444
oct1213261264542
9270577316426
1087422232930
113409163158a
1214b39641b96
138322a64c16
144334806494
152419dddc70
hex145ac56962

87422232930 has 128 divisors (see below), whose sum is σ = 229516830720. Its totient is φ = 21215416320.

The previous prime is 87422232889. The next prime is 87422232941. The reversal of 87422232930 is 3923222478.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35871672 + ... + 35874108.

It is an arithmetic number, because the mean of its divisors is an integer number (1793100240).

Almost surely, 287422232930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87422232930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114758415360).

87422232930 is an abundant number, since it is smaller than the sum of its proper divisors (142094597790).

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

87422232930 is a wasteful number, since it uses less digits than its factorization.

87422232930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764.

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 87422232930 in words is "eighty-seven billion, four hundred twenty-two million, two hundred thirty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2269 2437 2635 3162 4538 4874 5270 6807 7311 7905 11345 12185 13614 14622 15810 22690 24370 34035 36555 38573 41429 68070 70339 73110 75547 77146 82858 115719 124287 140678 151094 192865 207145 211017 226641 231438 248574 351695 377735 385730 414290 422034 453282 578595 621435 703390 755470 1055085 1133205 1157190 1195763 1242870 1284299 2110170 2266410 2391526 2568598 3587289 3852897 5529553 5978815 6421495 7174578 7705794 11059106 11957630 12842990 16588659 17936445 19264485 27647765 33177318 35872890 38528970 55295530 82943295 94002401 165886590 171416143 188004802 282007203 342832286 470012005 514248429 564014406 857080715 940024010 1028496858 1410036015 1714161430 2571242145 2820072030 2914074431 5142484290 5828148862 8742223293 14570372155 17484446586 29140744310 43711116465 87422232930