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22402640 = 2451321657
BaseRepresentation
bin101010101110…
…1011001010000
31120011011122102
41111131121100
521213341030
62120055532
7361263551
oct125353120
946134572
1022402640
1111711487
1276045a8
134844c00
142d92328
151e77c45
hex155d650

22402640 has 60 divisors (see below), whose sum is σ = 56435004. Its totient is φ = 8266752.

The previous prime is 22402631. The next prime is 22402657. The reversal of 22402640 is 4620422.

It can be written as a sum of positive squares in 6 ways, for example, as 6210064 + 16192576 = 2492^2 + 4024^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

22402640 is a modest number, since divided by 2640 gives 2240 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12692 + ... + 14348.

Almost surely, 222402640 is an apocalyptic number.

22402640 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 22402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28217502).

22402640 is an abundant number, since it is smaller than the sum of its proper divisors (34032364).

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

22402640 is a wasteful number, since it uses less digits than its factorization.

22402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 22402640 is about 4733.1427191666. The cubic root of 22402640 is about 281.9030231741.

The spelling of 22402640 in words is "twenty-two million, four hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1657 1690 2704 3314 3380 6628 6760 8285 13256 13520 16570 21541 26512 33140 43082 66280 86164 107705 132560 172328 215410 280033 344656 430820 560066 861640 1120132 1400165 1723280 2240264 2800330 4480528 5600660 11201320 22402640