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22166390988 = 22387120661
BaseRepresentation
bin10100101001001110…
…000100100011001100
32010012210222100000000
4110221032010203030
5330344044002423
614103314404300
71413206133420
oct245116044314
963183870000
1022166390988
1194453936a5
124367590690
13212346c6b1
141103cd4b80
1589b049843
hex5293848cc

22166390988 has 108 divisors (see below), whose sum is σ = 66496345552. Its totient is φ = 6333202080.

The previous prime is 22166390971. The next prime is 22166390989. The reversal of 22166390988 is 88909366122.

22166390988 is a `hidden beast` number, since 2 + 2 + 166 + 390 + 98 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×221663909882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22166390989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123378 + ... + 244038.

Almost surely, 222166390988 is an apocalyptic number.

22166390988 is a gapful number since it is divisible by the number (28) 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 22166390988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33248172776).

22166390988 is an abundant number, since it is smaller than the sum of its proper divisors (44329954564).

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

22166390988 is an equidigital number, since it uses as much as digits as its factorization.

22166390988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120696 (or 120673 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22166390988 in words is "twenty-two billion, one hundred sixty-six million, three hundred ninety thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2916 3402 4374 5103 6561 6804 8748 10206 13122 15309 20412 26244 30618 45927 61236 91854 120661 183708 241322 361983 482644 723966 844627 1085949 1447932 1689254 2171898 2533881 3257847 3378508 4343796 5067762 6515694 7601643 9773541 10135524 13031388 15203286 19547082 22804929 29320623 30406572 39094164 45609858 58641246 68414787 87961869 91219716 117282492 136829574 175923738 205244361 263885607 273659148 351847476 410488722 527771214 615733083 791656821 820977444 1055542428 1231466166 1583313642 1847199249 2462932332 3166627284 3694398498 5541597747 7388796996 11083195494 22166390988