Search a number
-
+
220535474940 = 2232511195862187
BaseRepresentation
bin1100110101100011110…
…0000100101011111100
3210002020111101220021100
43031120330010223330
512103124040144230
6245151304333100
721635034415224
oct3153074045374
9702214356240
10220535474940
118558a5874a0
12368a8a74190
1317a4791cb91
14a961555084
155b0b214660
hex3358f04afc

220535474940 has 144 divisors (see below), whose sum is σ = 768181115520. Its totient is φ = 50649287040.

The previous prime is 220535474903. The next prime is 220535474969. The reversal of 220535474940 is 49474535022.

220535474940 is a `hidden beast` number, since 2 + 2 + 0 + 535 + 4 + 74 + 9 + 40 = 666.

It is a super-2 number, since 2×2205354749402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2893474 + ... + 2968713.

It is an arithmetic number, because the mean of its divisors is an integer number (5334591080).

Almost surely, 2220535474940 is an apocalyptic number.

220535474940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220535474940 is an abundant number, since it is smaller than the sum of its proper divisors (547645640580).

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

220535474940 is a wasteful number, since it uses less digits than its factorization.

220535474940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862232 (or 5862227 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 220535474940 in words is "two hundred twenty billion, five hundred thirty-five million, four hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 5862187 11724374 17586561 23448748 29310935 35173122 52759683 58621870 64484057 70346244 87932805 105519366 111381553 117243740 128968114 175865610 193452171 211038732 222763106 257936228 263798415 322420285 334144659 351731220 386904342 445526212 527596830 556907765 580356513 644840570 668289318 773808684 967260855 1002433977 1055193660 1113815530 1160713026 1225197083 1289681140 1336578636 1670723295 1934521710 2004867954 2227631060 2321426052 2450394166 2901782565 3341446590 3675591249 3869043420 4009735908 4900788332 5012169885 5803565130 6125985415 6682893180 7351182498 10024339770 11026773747 11607130260 12251970830 14702364996 18377956245 20048679540 22053547494 24503941660 36755912490 44107094988 55133868735 73511824980 110267737470 220535474940