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2214683472 = 243195979521
BaseRepresentation
bin1000010000000001…
…0110001101010000
312201100022120120210
42010000112031100
514013424332342
61003432204120
7105611333061
oct20400261520
95640276523
102214683472
11a37149521
12519839640
13293aa2bc1
141701c0568
15ce66c79c
hex84016350

2214683472 has 160 divisors (see below), whose sum is σ = 6213888000. Its totient is φ = 677514240.

The previous prime is 2214683467. The next prime is 2214683479. The reversal of 2214683472 is 2743864122.

It is a happy number.

It is a super-2 number, since 2×22146834722 = 9809645762299949568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2214683472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214683479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4250572 + ... + 4251092.

It is an arithmetic number, because the mean of its divisors is an integer number (38836800).

Almost surely, 22214683472 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 2214683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106944000).

2214683472 is an abundant number, since it is smaller than the sum of its proper divisors (3999204528).

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

2214683472 is a wasteful number, since it uses less digits than its factorization.

2214683472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2214683472 is about 47060.4236275025. The cubic root of 2214683472 is about 1303.4785480772.

The spelling of 2214683472 in words is "two billion, two hundred fourteen million, six hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 79 114 118 152 158 177 228 236 237 304 316 354 456 472 474 521 632 708 912 944 948 1042 1121 1264 1416 1501 1563 1896 2084 2242 2832 3002 3126 3363 3792 4168 4484 4503 4661 6004 6252 6726 8336 8968 9006 9322 9899 12008 12504 13452 13983 17936 18012 18644 19798 24016 25008 26904 27966 29697 30739 36024 37288 39596 41159 53808 55932 59394 61478 72048 74576 79192 82318 88559 92217 111864 118788 122956 123477 158384 164636 177118 184434 223728 237576 245912 246954 265677 329272 354236 368868 475152 491824 493908 531354 584041 658544 708472 737736 782021 987816 1062708 1168082 1416944 1475472 1564042 1752123 1975632 2125416 2336164 2346063 2428381 3128084 3504246 4250832 4672328 4692126 4856762 6256168 7008492 7285143 9344656 9384252 9713524 12512336 14016984 14570286 18768504 19427048 28033968 29140572 37537008 38854096 46139239 58281144 92278478 116562288 138417717 184556956 276835434 369113912 553670868 738227824 1107341736 2214683472