Search a number
-
+
22502040440 = 2351165378317
BaseRepresentation
bin10100111101001110…
…011110001101111000
32011002012120002111012
4110331032132031320
5332041010243230
614200504453052
71424423121305
oct247516361570
964065502435
1022502040440
1195a78a7040
12443ba7a188
132177b6ca39
1411367080ac
158ba74b395
hex53d39e378

22502040440 has 64 divisors (see below), whose sum is σ = 55317569760. Its totient is φ = 8169925120.

The previous prime is 22502040433. The next prime is 22502040511. The reversal of 22502040440 is 4404020522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248162 + ... + 326478.

Almost surely, 222502040440 is an apocalyptic number.

22502040440 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 22502040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27658784880).

22502040440 is an abundant number, since it is smaller than the sum of its proper divisors (32815529320).

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

22502040440 is a wasteful number, since it uses less digits than its factorization.

22502040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78992 (or 78988 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 22502040440 its reverse (4404020522), we get a palindrome (26906060962).

The spelling of 22502040440 in words is "twenty-two billion, five hundred two million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 653 1306 2612 3265 5224 6530 7183 13060 14366 26120 28732 35915 57464 71830 78317 143660 156634 287320 313268 391585 626536 783170 861487 1566340 1722974 3132680 3445948 4307435 6891896 8614870 17229740 34459480 51141001 102282002 204564004 255705005 409128008 511410010 562551011 1022820020 1125102022 2045640040 2250204044 2812755055 4500408088 5625510110 11251020220 22502040440