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22002103140 = 22352383192091
BaseRepresentation
bin10100011111011011…
…010111001101100100
32002210100211122102220
4110133123113031210
5330030014300030
614035125232340
71406142535203
oct243733271544
962710748386
1022002103140
119370682816
1243205626b0
1320c840a354
1410ca16b23a
1588b8e6a10
hex51f6d7364

22002103140 has 96 divisors (see below), whose sum is σ = 65059255296. Its totient is φ = 5544485760.

The previous prime is 22002103093. The next prime is 22002103147. The reversal of 22002103140 is 4130120022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22002103147) 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, 18495 + ... + 210585.

It is an arithmetic number, because the mean of its divisors is an integer number (677700576).

Almost surely, 222002103140 is an apocalyptic number.

22002103140 is a gapful number since it is divisible by the number (20) 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 22002103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32529627648).

22002103140 is an abundant number, since it is smaller than the sum of its proper divisors (43057152156).

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

22002103140 is a wasteful number, since it uses less digits than its factorization.

22002103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192209 (or 192207 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22002103140 its reverse (4130120022), we get a palindrome (26132223162).

The spelling of 22002103140 in words is "twenty-two billion, two million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2490 3818 4980 5727 7636 9545 11454 19090 22908 28635 38180 57270 114540 192091 384182 576273 768364 960455 1152546 1920910 2305092 2881365 3841820 4418093 5762730 8836186 11525460 13254279 15943553 17672372 22090465 26508558 31887106 44180930 47830659 53017116 63774212 66271395 79717765 88361860 95661318 132542790 159435530 191322636 239153295 265085580 318871060 366701719 478306590 733403438 956613180 1100105157 1466806876 1833508595 2200210314 3667017190 4400420628 5500525785 7334034380 11001051570 22002103140