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2245025601 = 3272131932029
BaseRepresentation
bin1000010111010000…
…0101111101000001
312210110102010011100
42011310011331001
514044211304401
61010434405013
7106430255100
oct20564057501
95713363140
102245025601
11a52292a65
12527a30769
1329a167820
1417423c037
15d2162b86
hex85d05f41

2245025601 has 72 divisors (see below), whose sum is σ = 4085488680. Its totient is φ = 1177473024.

The previous prime is 2245025591. The next prime is 2245025621. The reversal of 2245025601 is 1065205422.

2245025601 is a `hidden beast` number, since 2 + 2 + 4 + 50 + 2 + 5 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 357210000 + 1887815601 = 18900^2 + 43449^2 .

It is not a de Polignac number, because 2245025601 - 26 = 2245025537 is a prime.

It is a super-2 number, since 2×22450256012 = 10080279898290822402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245025621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1105455 + ... + 1107483.

Almost surely, 22245025601 is an apocalyptic number.

2245025601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2245025601 is a deficient number, since it is larger than the sum of its proper divisors (1840463079).

2245025601 is a wasteful number, since it uses less digits than its factorization.

2245025601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2245025601 is about 47381.7011197361. The cubic root of 2245025601 is about 1309.4043095123.

The spelling of 2245025601 in words is "two billion, two hundred forty-five million, twenty-five thousand, six hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 193 273 441 579 637 819 1351 1737 1911 2029 2509 4053 5733 6087 7527 9457 12159 14203 17563 18261 22581 26377 28371 42609 52689 79131 85113 99421 122941 127827 158067 184639 237393 298263 368823 391597 553917 894789 1106469 1174791 1292473 1661751 2741179 3524373 3877419 5090761 8223537 11632257 15272283 19188253 24670611 35635327 45816849 57564759 106905981 172694277 249447289 320717943 748341867 2245025601