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2272909734 = 2371373793
BaseRepresentation
bin1000011101111001…
…1101100110100110
312212101212210000000
42013132131212212
514123331102414
61013312202130
7110216261664
oct20736354646
95771783000
102272909734
11a66aa87a7
12535239346
132a2b7b704
14177c19c34
15d481eb09
hex8779d9a6

2272909734 has 64 divisors (see below), whose sum is σ = 5151948480. Its totient is φ = 751908096.

The previous prime is 2272909733. The next prime is 2272909759. The reversal of 2272909734 is 4379092722.

It is a super-2 number, since 2×22729097342 = 10332237317823901512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2272909734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272909733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597342 + ... + 601134.

It is an arithmetic number, because the mean of its divisors is an integer number (80499195).

Almost surely, 22272909734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272909734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575974240).

2272909734 is an abundant number, since it is smaller than the sum of its proper divisors (2879038746).

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

2272909734 is an equidigital number, since it uses as much as digits as its factorization.

2272909734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2272909734 is about 47675.0430938452. The cubic root of 2272909734 is about 1314.8031307106.

The spelling of 2272909734 in words is "two billion, two hundred seventy-two million, nine hundred nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 729 822 1233 1458 2187 2466 3699 3793 4374 7398 7586 11097 11379 22194 22758 33291 34137 66582 68274 99873 102411 199746 204822 299619 307233 519641 599238 614466 921699 1039282 1558923 1843398 2765097 3117846 4676769 5530194 8295291 9353538 14030307 16590582 28060614 42090921 84181842 126272763 252545526 378818289 757636578 1136454867 2272909734