Search a number
-
+
22490290812 = 22311231618191
BaseRepresentation
bin10100111100100001…
…101001101001111100
32011001101110011000210
4110330201221221330
5332030003301222
614155404552420
71424221213653
oct247441515174
964041404023
1022490290812
1195a1201400
124437b52710
1321755b79b2
141134d2a19a
158b96c9d0c
hex53c869a7c

22490290812 has 144 divisors (see below), whose sum is σ = 60525903872. Its totient is φ = 6486480000.

The previous prime is 22490290807. The next prime is 22490290819. The reversal of 22490290812 is 21809209422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22490290819) 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, 2741637 + ... + 2749827.

Almost surely, 222490290812 is an apocalyptic number.

22490290812 is a gapful number since it is divisible by the number (22) 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 22490290812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30262951936).

22490290812 is an abundant number, since it is smaller than the sum of its proper divisors (38035613060).

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

22490290812 is a wasteful number, since it uses less digits than its factorization.

22490290812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 22490290812 in words is "twenty-two billion, four hundred ninety million, two hundred ninety thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 121 122 124 132 183 186 242 244 341 363 366 372 484 671 682 726 732 1023 1342 1364 1452 1891 2013 2046 2684 3751 3782 4026 4092 5673 7381 7502 7564 8052 8191 11253 11346 14762 15004 16382 20801 22143 22506 22692 24573 29524 32764 41602 44286 45012 49146 62403 83204 88572 90101 98292 124806 180202 228811 249612 253921 270303 360404 457622 499651 507842 540606 686433 761763 915244 991111 999302 1015684 1081212 1372866 1498953 1523526 1982222 1998604 2745732 2793131 2973333 2997906 3047052 3964444 5496161 5586262 5946666 5995812 8379393 10992322 11172524 11893332 15489181 16488483 16758786 21984644 30724441 30978362 32976966 33517572 46467543 60457771 61448882 61956724 65953932 92173323 92935086 120915542 122897764 170380991 181373313 184346646 185870172 241831084 340761982 362746626 368693292 511142973 681523964 725493252 1022285946 1874190901 2044571892 3748381802 5622572703 7496763604 11245145406 22490290812