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22610133311340 = 22357341801123493
BaseRepresentation
bin1010010010000010101001…
…11101101101111101101100
32222001111201001202222000110
411021001110331231331230
510430421023111430330
6120030541333300020
74522346116061511
oct511012475557554
988044631688013
1022610133311340
1172279a389a193
122651bb3a94610
13c8018499a803
1458249cad7308
1529321c623db0
hex149054f6df6c

22610133311340 has 96 divisors (see below), whose sum is σ = 64177666209216. Its totient is φ = 5946584371200.

The previous prime is 22610133311333. The next prime is 22610133311347. The reversal of 22610133311340 is 4311333101622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22610133311333) and next prime (22610133311347).

It is a super-2 number, since 2×226101333113402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22610133311298 and 22610133311307.

It is not an unprimeable number, because it can be changed into a prime (22610133311347) 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, 183026634 + ... + 183150126.

It is an arithmetic number, because the mean of its divisors is an integer number (668517356346).

Almost surely, 222610133311340 is an apocalyptic number.

22610133311340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22610133311340 is an abundant number, since it is smaller than the sum of its proper divisors (41567532897876).

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

22610133311340 is a wasteful number, since it uses less digits than its factorization.

22610133311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165379 (or 165377 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 22610133311340 its reverse (4311333101622), we get a palindrome (26921466412962).

The spelling of 22610133311340 in words is "twenty-two trillion, six hundred ten billion, one hundred thirty-three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 41801 83602 123493 125403 167204 209005 246986 250806 370479 418010 493972 501612 617465 627015 740958 836020 1234930 1254030 1481916 1852395 2469860 2508060 3051473 3704790 6102946 7409580 9014989 9154419 12205892 15257365 18029978 18308838 27044967 30514730 36059956 36617676 45074945 45772095 54089934 61029460 90149890 91544190 108179868 135224835 180299780 183088380 270449670 540899340 5162130893 10324261786 15486392679 20648523572 25810654465 30972785358 51621308930 61945570716 77431963395 103242617860 154863926790 309727853580 376835555189 753671110378 1130506665567 1507342220756 1884177775945 2261013331134 3768355551890 4522026662268 5652533327835 7536711103780 11305066655670 22610133311340