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2252024016 = 2431131137587
BaseRepresentation
bin1000011000111011…
…0010100011010000
312210221120200011220
42012032302203100
514103004232031
61011244405040
7106543613454
oct20616624320
95727520156
102252024016
11a56232a80
1252a246780
1329b7480b8
14175140664
15d2a96596
hex863b28d0

2252024016 has 80 divisors (see below), whose sum is σ = 6551390208. Its totient is φ = 660412800.

The previous prime is 2252024003. The next prime is 2252024069. The reversal of 2252024016 is 6104202522.

It is a happy number.

It is a super-2 number, since 2×22520240162 = 10143224337281536512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52426 + ... + 85161.

Almost surely, 22252024016 is an apocalyptic number.

It is an amenable number.

2252024016 is an abundant number, since it is smaller than the sum of its proper divisors (4299366192).

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

2252024016 is a wasteful number, since it uses less digits than its factorization.

2252024016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137640 (or 137634 counting only the distinct ones).

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

The square root of 2252024016 is about 47455.4951085752. The cubic root of 2252024016 is about 1310.7634995307.

Adding to 2252024016 its reverse (6104202522), we get a palindrome (8356226538).

The spelling of 2252024016 in words is "two billion, two hundred fifty-two million, twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 137587 275174 412761 550348 825522 1100696 1513457 1651044 2201392 3026914 3302088 4265197 4540371 6053828 6604176 8530394 9080742 12107656 12795591 17060788 18161484 24215312 25591182 34121576 36322968 46917167 51182364 68243152 72645936 93834334 102364728 140751501 187668668 204729456 281503002 375337336 563006004 750674672 1126012008 2252024016