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2240134152 = 233313598387
BaseRepresentation
bin1000010110000101…
…1011110000001000
312210010012121100120
42011201123300020
514041433243102
61010141503240
7106340553234
oct20541336010
95703177316
102240134152
11a4a551a43
12526271b20
13299144289
141737275c4
15d19e86bc
hex8585bc08

2240134152 has 64 divisors (see below), whose sum is σ = 5797785600. Its totient is φ = 720525120.

The previous prime is 2240134139. The next prime is 2240134177. The reversal of 2240134152 is 2514310422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262903 + ... + 271289.

It is an arithmetic number, because the mean of its divisors is an integer number (90590400).

Almost surely, 22240134152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898892800).

2240134152 is an abundant number, since it is smaller than the sum of its proper divisors (3557651448).

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

2240134152 is a wasteful number, since it uses less digits than its factorization.

2240134152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2240134152 is about 47330.0554827480. The cubic root of 2240134152 is about 1308.4526437973.

Adding to 2240134152 its reverse (2514310422), we get a palindrome (4754444574).

The spelling of 2240134152 in words is "two billion, two hundred forty million, one hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 359 372 718 744 1077 1436 2154 2872 4308 8387 8616 11129 16774 22258 25161 33387 33548 44516 50322 66774 67096 89032 100644 133548 201288 259997 267096 519994 779991 1039988 1559982 2079976 3010933 3119964 6021866 6239928 9032799 12043732 18065598 24087464 36131196 72262392 93338923 186677846 280016769 373355692 560033538 746711384 1120067076 2240134152