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22401940 = 2251129257
BaseRepresentation
bin101010101110…
…1001110010100
31120011010200111
41111131032110
521213330230
62120052404
7361261531
oct125351624
946133614
1022401940
1111710a00
127604104
1348447b2
142d91d88
151e7792a
hex155d394

22401940 has 36 divisors (see below), whose sum is σ = 51715188. Its totient is φ = 8145280.

The previous prime is 22401889. The next prime is 22401947. The reversal of 22401940 is 4910422.

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 18215824 = 2046^2 + 4268^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22401947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2209 + ... + 7048.

It is an arithmetic number, because the mean of its divisors is an integer number (1436533).

Almost surely, 222401940 is an apocalyptic number.

22401940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401940 is an abundant number, since it is smaller than the sum of its proper divisors (29313248).

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

22401940 is a wasteful number, since it uses less digits than its factorization.

22401940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22401940 is about 4733.0687719491. The cubic root of 22401940 is about 281.9000869998.

The spelling of 22401940 in words is "twenty-two million, four hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 9257 18514 37028 46285 92570 101827 185140 203654 407308 509135 1018270 1120097 2036540 2240194 4480388 5600485 11200970 22401940