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2252402430 = 2356110711503
BaseRepresentation
bin1000011001000000…
…1110111011111110
312210222021220021020
42012100032323332
514103103334210
61011300445010
7106550050635
oct20620167376
95728256236
102252402430
11a56471313
1252a3a9766
1329b84b405
141751dc51c
15d2b1d770
hex8640eefe

2252402430 has 64 divisors (see below), whose sum is σ = 5546216448. Its totient is φ = 585221760.

The previous prime is 2252402413. The next prime is 2252402431. The reversal of 2252402430 is 342042522.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252402430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252402431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190059 + ... + 201561.

It is an arithmetic number, because the mean of its divisors is an integer number (86659632).

Almost surely, 22252402430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252402430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773108224).

2252402430 is an abundant number, since it is smaller than the sum of its proper divisors (3293814018).

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

2252402430 is a wasteful number, since it uses less digits than its factorization.

2252402430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2252402430 is about 47459.4819820023. The cubic root of 2252402430 is about 1310.8369125251.

Adding to 2252402430 its reverse (342042522), we get a palindrome (2594444952).

The spelling of 2252402430 in words is "two billion, two hundred fifty-two million, four hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 107 122 183 214 305 321 366 535 610 642 915 1070 1605 1830 3210 6527 11503 13054 19581 23006 32635 34509 39162 57515 65270 69018 97905 115030 172545 195810 345090 701683 1230821 1403366 2105049 2461642 3508415 3692463 4210098 6154105 7016830 7384926 10525245 12308210 18462315 21050490 36924630 75080081 150160162 225240243 375400405 450480486 750800810 1126201215 2252402430