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11220985692 = 2232737112799
BaseRepresentation
bin10100111001101001…
…01010011101011100
31001222000021010121200
422130310222131130
5140440033020232
65053240355500
7545031543000
oct123464523534
931860233550
1011220985692
114838a546a4
122211a75b90
13109a94b907
14786396700
1545a19177c
hex29cd2a75c

11220985692 has 144 divisors (see below), whose sum is σ = 33546240000. Its totient is φ = 3160594080.

The previous prime is 11220985691. The next prime is 11220985703. The reversal of 11220985692 is 29658902211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220985691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870309 + ... + 883107.

It is an arithmetic number, because the mean of its divisors is an integer number (232960000).

Almost surely, 211220985692 is an apocalyptic number.

11220985692 is a gapful number since it is divisible by the number (12) 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 11220985692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120000).

11220985692 is an abundant number, since it is smaller than the sum of its proper divisors (22325254308).

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

11220985692 is a wasteful number, since it uses less digits than its factorization.

11220985692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11220985692 in words is "eleven billion, two hundred twenty million, nine hundred eighty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 71 84 98 126 142 147 196 213 252 284 294 343 426 441 497 588 639 686 852 882 994 1029 1278 1372 1491 1764 1988 2058 2556 2982 3087 3479 4116 4473 5964 6174 6958 8946 10437 12348 12799 13916 17892 20874 24353 25598 31311 38397 41748 48706 51196 62622 73059 76794 89593 97412 115191 125244 146118 153588 179186 219177 230382 268779 292236 358372 438354 460764 537558 627151 806337 876708 908729 1075116 1254302 1612674 1817458 1881453 2508604 2726187 3225348 3634916 3762906 4390057 5452374 5644359 6361103 7525812 8178561 8780114 10904748 11288718 12722206 13170171 16357122 17560228 19083309 22577436 25444412 26340342 32714244 38166618 39510513 44527721 52680684 57249927 76333236 79021026 89055442 114499854 133583163 158042052 178110884 228999708 267166326 311694047 400749489 534332652 623388094 801498978 935082141 1246776188 1602997956 1870164282 2805246423 3740328564 5610492846 11220985692