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2140201224 = 233372433467
BaseRepresentation
bin111111110010000…
…1110000100001000
312112011011111011000
41333210032010020
513340342414344
6552211535000
7104015260500
oct17744160410
95464144130
102140201224
119a90a6947
124b88ba460
13281525175
14164352a00
15c7d58a69
hex7f90e108

2140201224 has 192 divisors, whose sum is σ = 6946430400. Its totient is φ = 608767488.

The previous prime is 2140201201. The next prime is 2140201291. The reversal of 2140201224 is 4221020412.

It is a super-2 number, since 2×21402012242 = 9160922558422196352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140201197 and 2140201206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4582639 + ... + 4583105.

It is an arithmetic number, because the mean of its divisors is an integer number (36179325).

Almost surely, 22140201224 is an apocalyptic number.

2140201224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140201224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473215200).

2140201224 is an abundant number, since it is smaller than the sum of its proper divisors (4806229176).

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

2140201224 is a wasteful number, since it uses less digits than its factorization.

2140201224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2140201224 is about 46262.3088917966. The cubic root of 2140201224 is about 1288.6991320966.

Adding to 2140201224 its reverse (4221020412), we get a palindrome (6361221636).

The spelling of 2140201224 in words is "two billion, one hundred forty million, two hundred one thousand, two hundred twenty-four".