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2190144 = 263111761
BaseRepresentation
bin1000010110101101000000
311010021022110
420112231000
51030041034
6114535320
724421155
oct10265500
94107273
102190144
111266540
12897540
135b8b58
1441022c
152d3de9
hex216b40

2190144 has 112 divisors (see below), whose sum is σ = 6803136. Its totient is φ = 614400.

The previous prime is 2190143. The next prime is 2190157. The reversal of 2190144 is 4410912.

It is a self number, because there is not a number n which added to its sum of digits gives 2190144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35874 + ... + 35934.

22190144 is an apocalyptic number.

2190144 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 2190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568).

2190144 is an abundant number, since it is smaller than the sum of its proper divisors (4612992).

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

2190144 is a wasteful number, since it uses less digits than its factorization.

2190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2190144 is about 1479.9135109864. The cubic root of 2190144 is about 129.8646322674.

It can be divided in two parts, 21901 and 44, that added together give a triangular number (21945 = T209).

The spelling of 2190144 in words is "two million, one hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 61 64 66 68 88 96 102 122 132 136 176 183 187 192 204 244 264 272 352 366 374 408 488 528 544 561 671 704 732 748 816 976 1037 1056 1088 1122 1342 1464 1496 1632 1952 2013 2074 2112 2244 2684 2928 2992 3111 3264 3904 4026 4148 4488 5368 5856 5984 6222 8052 8296 8976 10736 11407 11712 11968 12444 16104 16592 17952 21472 22814 24888 32208 33184 34221 35904 42944 45628 49776 64416 66368 68442 91256 99552 128832 136884 182512 199104 273768 365024 547536 730048 1095072 2190144