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2252269980 = 2232553236087
BaseRepresentation
bin1000011000111110…
…1110100110011100
312210222001011120200
42012033232212130
514103040114410
61011253543500
7106545656532
oct20617564634
95728034520
102252269980
11a56390854
1252a344b90
1329b80303c
141751a6152
15d2ae43c0
hex863ee99c

2252269980 has 72 divisors (see below), whose sum is σ = 6960818592. Its totient is φ = 589270656.

The previous prime is 2252269969. The next prime is 2252270011. The reversal of 2252269980 is 899622522.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108504 + ... + 127583.

It is an arithmetic number, because the mean of its divisors is an integer number (96678036).

Almost surely, 22252269980 is an apocalyptic number.

2252269980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252269980 is an abundant number, since it is smaller than the sum of its proper divisors (4708548612).

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

2252269980 is a wasteful number, since it uses less digits than its factorization.

2252269980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236155 (or 236150 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2252269980 is about 47458.0865606695. The cubic root of 2252269980 is about 1310.8112179231.

The spelling of 2252269980 in words is "two billion, two hundred fifty-two million, two hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 236087 472174 708261 944348 1180435 1416522 2124783 2360870 2833044 3541305 4249566 4721740 7082610 8499132 10623915 12512611 14165220 21247830 25025222 37537833 42495660 50050444 62563055 75075666 112613499 125126110 150151332 187689165 225226998 250252220 375378330 450453996 563067495 750756660 1126134990 2252269980