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2252211384 = 233331283511
BaseRepresentation
bin1000011000111110…
…0000010010111000
312210221221012012110
42012033200102320
514103031231014
61011252412320
7106545323643
oct20617402270
95727835173
102252211384
11a56350825
1252a3170a0
1329b7b2477
1417518ca5a
15d2ad1d59
hex863e04b8

2252211384 has 32 divisors (see below), whose sum is σ = 5647559040. Its totient is φ = 748466400.

The previous prime is 2252211383. The next prime is 2252211413. The reversal of 2252211384 is 4831122522.

It is a super-2 number, since 2×22522113842 = 10144912236438390912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252211383) 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 7 ways as a sum of consecutive naturals, for example, 133812 + ... + 149699.

It is an arithmetic number, because the mean of its divisors is an integer number (176486220).

Almost surely, 22252211384 is an apocalyptic number.

2252211384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2252211384 is an abundant number, since it is smaller than the sum of its proper divisors (3395347656).

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

2252211384 is a wasteful number, since it uses less digits than its factorization.

2252211384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283851 (or 283847 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2252211384 is about 47457.4692119165. The cubic root of 2252211384 is about 1310.7998502864.

The spelling of 2252211384 in words is "two billion, two hundred fifty-two million, two hundred eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 3972 7944 283511 567022 850533 1134044 1701066 2268088 3402132 6804264 93842141 187684282 281526423 375368564 563052846 750737128 1126105692 2252211384