Search a number
-
+
2252203488 = 25332606717
BaseRepresentation
bin1000011000111101…
…1110010111100000
312210221220210101000
42012033132113200
514103031002423
61011252312000
7106545261633
oct20617362740
95727823330
102252203488
11a563458a7
1252a312600
1329b7ab9b2
14175189c1a
15d2ace843
hex863de5e0

2252203488 has 48 divisors (see below), whose sum is σ = 6568929360. Its totient is φ = 750734208.

The previous prime is 2252203439. The next prime is 2252203489. The reversal of 2252203488 is 8843022522.

2252203488 is a `hidden beast` number, since 22 + 522 + 0 + 34 + 88 = 666.

2252203488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22522034882 = 10144841102718732288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252203489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302495 + ... + 1304222.

It is an arithmetic number, because the mean of its divisors is an integer number (136852695).

Almost surely, 22252203488 is an apocalyptic number.

It is an amenable number.

2252203488 is an abundant number, since it is smaller than the sum of its proper divisors (4316725872).

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

2252203488 is a wasteful number, since it uses less digits than its factorization.

2252203488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606736 (or 2606722 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2252203488 is about 47457.3860215668. The cubic root of 2252203488 is about 1310.7983184456.

The spelling of 2252203488 in words is "two billion, two hundred fifty-two million, two hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2606717 5213434 7820151 10426868 15640302 20853736 23460453 31280604 41707472 46920906 62561208 70381359 83414944 93841812 125122416 140762718 187683624 250244832 281525436 375367248 563050872 750734496 1126101744 2252203488