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2214257171148 = 2232116247895079
BaseRepresentation
bin100000001110001100000…
…000110001101011001100
321211200101101111212112100
4200032030000301223030
5242234244313434043
64413114331435100
7315655233260511
oct40161400615314
97750341455470
102214257171148
117840744a1760
122b917a2b5a90
13130a5a545b99
147925626d308
153c8e7e33cd3
hex2038c031acc

2214257171148 has 72 divisors (see below), whose sum is σ = 6106966145280. Its totient is φ = 670878862560.

The previous prime is 2214257171129. The next prime is 2214257171167. The reversal of 2214257171148 is 8411717524122.

2214257171148 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 571 + 71 + 1 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2214257171129) and next prime (2214257171167).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026273 + ... + 2921351.

It is an arithmetic number, because the mean of its divisors is an integer number (84818974240).

Almost surely, 22214257171148 is an apocalyptic number.

It is an amenable number.

2214257171148 is an abundant number, since it is smaller than the sum of its proper divisors (3892708974132).

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

2214257171148 is a wasteful number, since it uses less digits than its factorization.

2214257171148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901347 (or 901342 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The spelling of 2214257171148 in words is "two trillion, two hundred fourteen billion, two hundred fifty-seven million, one hundred seventy-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 6247 12494 18741 24988 37482 56223 68717 74964 112446 137434 206151 224892 274868 412302 618453 824604 895079 1236906 1790158 2473812 2685237 3580316 5370474 8055711 9845869 10740948 16111422 19691738 29537607 32222844 39383476 59075214 88612821 118150428 177225642 354451284 5591558513 11183117026 16774675539 22366234052 33549351078 50324026617 61507143643 67098702156 100648053234 123014287286 184521430929 201296106468 246028574572 369042861858 553564292787 738085723716 1107128585574 2214257171148