Search a number
-
+
221050121940 = 223253733190709
BaseRepresentation
bin1100110111011110011…
…1010010111011010100
3210010120100210200020100
43031313213102323110
512110202312400230
6245314331134100
721653554014624
oct3156747227324
9703510720210
10221050121940
118582403839a
1236a112a4330
1317aca432a2b
14a9ada40884
155b3b4c2660
hex33779d2ed4

221050121940 has 72 divisors (see below), whose sum is σ = 688640851080. Its totient is φ = 57353543424.

The previous prime is 221050121939. The next prime is 221050121959. The reversal of 221050121940 is 49121050122.

It can be written as a sum of positive squares in 4 ways, for example, as 17176199364 + 203873922576 = 131058^2 + 451524^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16588695 + ... + 16602014.

It is an arithmetic number, because the mean of its divisors is an integer number (9564456265).

Almost surely, 2221050121940 is an apocalyptic number.

221050121940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221050121940 is an abundant number, since it is smaller than the sum of its proper divisors (467590729140).

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

221050121940 is a wasteful number, since it uses less digits than its factorization.

221050121940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33190761 (or 33190756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 221050121940 in words is "two hundred twenty-one billion, fifty million, one hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 33190709 66381418 99572127 132762836 165953545 199144254 298716381 331907090 398288508 497860635 597432762 663814180 995721270 1194865524 1228056233 1493581905 1991442540 2456112466 2987163810 3684168699 4912224932 5974327620 6140281165 7368337398 11052506097 12280562330 14736674796 18420843495 22105012194 24561124660 36841686990 44210024388 55262530485 73683373980 110525060970 221050121940