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55230211332 = 2232191033172473
BaseRepresentation
bin110011011011111110…
…100010010100000100
312021120002101102202200
4303123332202110010
51401102413230312
641212235034500
73663441023202
oct633376422404
9167502342680
1055230211332
112147201825a
12a85459ba30
135292502b2a
14295d1da072
151683b220dc
hexcdbfa2504

55230211332 has 144 divisors (see below), whose sum is σ = 148912632960. Its totient is φ = 17210340864.

The previous prime is 55230211331. The next prime is 55230211357. The reversal of 55230211332 is 23311203255.

It is a happy number.

55230211332 is a `hidden beast` number, since 5 + 523 + 0 + 2 + 1 + 133 + 2 = 666.

55230211332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55230211296 and 55230211305.

It is not an unprimeable number, because it can be changed into a prime (55230211331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22332048 + ... + 22334520.

Almost surely, 255230211332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55230211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74456316480).

55230211332 is an abundant number, since it is smaller than the sum of its proper divisors (93682421628).

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

55230211332 is a wasteful number, since it uses less digits than its factorization.

55230211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 55230211332 its reverse (23311203255), we get a palindrome (78541414587).

The spelling of 55230211332 in words is "fifty-five billion, two hundred thirty million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 103 114 171 206 228 309 317 342 412 618 634 684 927 951 1236 1268 1854 1902 1957 2473 2853 3708 3804 3914 4946 5706 5871 6023 7419 7828 9892 11412 11742 12046 14838 17613 18069 22257 23484 24092 29676 32651 35226 36138 44514 46987 54207 65302 70452 72276 89028 93974 97953 108414 130604 140961 187948 195906 216828 254719 281922 293859 391812 422883 509438 563844 587718 620369 764157 783941 845766 1018876 1175436 1240738 1528314 1567882 1691532 1861107 2292471 2351823 2481476 3056628 3135764 3722214 4584942 4703646 4839661 5583321 7055469 7444428 9169884 9407292 9679322 11166642 14110938 14518983 14894879 19358644 22333284 28221876 29037966 29789758 43556949 44684637 58075932 59579516 80745923 87113898 89369274 134053911 161491846 174227796 178738548 242237769 268107822 322983692 484475538 536215644 726713307 968951076 1453426614 1534172537 2906853228 3068345074 4602517611 6136690148 9205035222 13807552833 18410070444 27615105666 55230211332