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2045531400 = 2335211309929
BaseRepresentation
bin111100111101100…
…0101010100001000
312021120000202120020
41321323011110020
513142124001100
6534550500440
7101455505253
oct17173052410
95246022506
102045531400
1195a716020
12491064720
13267a29813
1415594c09a
15be8a85a0
hex79ec5508

2045531400 has 96 divisors (see below), whose sum is σ = 6917637600. Its totient is φ = 495884800.

The previous prime is 2045531353. The next prime is 2045531401. The reversal of 2045531400 is 41355402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2045531401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148365 + ... + 161564.

It is an arithmetic number, because the mean of its divisors is an integer number (72058725).

Almost surely, 22045531400 is an apocalyptic number.

2045531400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045531400 is an abundant number, since it is smaller than the sum of its proper divisors (4872106200).

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

2045531400 is a wasteful number, since it uses less digits than its factorization.

2045531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309959 (or 309950 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2045531400 is about 45227.5513376526. The cubic root of 2045531400 is about 1269.4103944689.

Adding to 2045531400 its reverse (41355402), we get a palindrome (2086886802).

The spelling of 2045531400 in words is "two billion, forty-five million, five hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 309929 619858 929787 1239716 1549645 1859574 2479432 3099290 3409219 3719148 4648935 6198580 6818438 7438296 7748225 9297870 10227657 12397160 13636876 15496450 17046095 18595740 20455314 23244675 27273752 30992900 34092190 37191480 40910628 46489350 51138285 61985800 68184380 81821256 85230475 92978700 102276570 136368760 170460950 185957400 204553140 255691425 340921900 409106280 511382850 681843800 1022765700 2045531400